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1055171808 = 253247137569
BaseRepresentation
bin111110111001001…
…010010011100000
32201112111021121100
4332321022103200
54130110444213
6252411554400
735101545435
oct7671122340
92645437540
101055171808
114a1687219
1225545ba00
1313a7b6622
14a01cdb8c
156297d773
hex3ee4a4e0

1055171808 has 144 divisors (see below), whose sum is σ = 3092281920. Its totient is φ = 341127168.

The previous prime is 1055171801. The next prime is 1055171863. The reversal of 1055171808 is 8081715501.

It is a happy number.

1055171808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×10551718082 = 2226775088795977728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1055171801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1854148 + ... + 1854716.

It is an arithmetic number, because the mean of its divisors is an integer number (21474180).

Almost surely, 21055171808 is an apocalyptic number.

1055171808 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1055171808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546140960).

1055171808 is an abundant number, since it is smaller than the sum of its proper divisors (2037110112).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1055171808 is a wasteful number, since it uses less digits than its factorization.

1055171808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 36.

The square root of 1055171808 is about 32483.4081955696. The cubic root of 1055171808 is about 1018.0623885042.

The spelling of 1055171808 in words is "one billion, fifty-five million, one hundred seventy-one thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 72 94 96 137 141 144 188 274 282 288 376 411 423 548 564 569 752 822 846 1096 1128 1138 1233 1504 1644 1692 1707 2192 2256 2276 2466 3288 3384 3414 4384 4512 4552 4932 5121 6439 6576 6768 6828 9104 9864 10242 12878 13152 13536 13656 18208 19317 19728 20484 25756 26743 27312 38634 39456 40968 51512 53486 54624 57951 77268 77953 80229 81936 103024 106972 115902 154536 155906 160458 163872 206048 213944 231804 233859 240687 309072 311812 320916 427888 463608 467718 481374 618144 623624 641832 701577 855776 927216 935436 962748 1247248 1283664 1403154 1854432 1870872 1925496 2494496 2567328 2806308 3663791 3741744 3850992 5612616 7327582 7483488 7701984 10991373 11225232 14655164 21982746 22450464 29310328 32974119 43965492 58620656 65948238 87930984 117241312 131896476 175861968 263792952 351723936 527585904 1055171808