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1055790008 = 2371329431163
BaseRepresentation
bin111110111011100…
…001001110111000
32201120122200121122
4332323201032320
54130240240013
6252433124412
735110031660
oct7673411670
92646580548
101055790008
114a1a69729
122556b9708
1313a971b20
14a03111a0
1562a51a08
hex3eee13b8

1055790008 has 128 divisors (see below), whose sum is σ = 2581286400. Its totient is φ = 393555456.

The previous prime is 1055790007. The next prime is 1055790019. The reversal of 1055790008 is 8000975501.

It is a super-3 number, since 3×10557900083 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1055790008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1055790007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 907235 + ... + 908397.

It is an arithmetic number, because the mean of its divisors is an integer number (20166300).

Almost surely, 21055790008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1055790008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290643200).

1055790008 is an abundant number, since it is smaller than the sum of its proper divisors (1525496392).

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

1055790008 is a wasteful number, since it uses less digits than its factorization.

1055790008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1261 (or 1257 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 35.

The square root of 1055790008 is about 32492.9224293537. The cubic root of 1055790008 is about 1018.2611691810.

The spelling of 1055790008 in words is "one billion, fifty-five million, seven hundred ninety thousand, eight".

Divisors: 1 2 4 7 8 13 14 26 28 29 43 52 56 58 86 91 104 116 172 182 203 232 301 344 364 377 406 559 602 728 754 812 1118 1163 1204 1247 1508 1624 2236 2326 2408 2494 2639 3016 3913 4472 4652 4988 5278 7826 8141 8729 9304 9976 10556 15119 15652 16211 16282 17458 21112 30238 31304 32422 32564 33727 34916 50009 60476 64844 65128 67454 69832 100018 105833 113477 120952 129688 134908 200036 211666 226954 236089 269816 350063 400072 423332 438451 453908 472178 650117 700126 846664 876902 907816 944356 1300234 1400252 1450261 1753804 1888712 2600468 2800504 2900522 3069157 3507608 4550819 5200936 5801044 6138314 9101638 10151827 11602088 12276628 18203276 18853393 20303654 24553256 36406552 37706786 40607308 75413572 81214616 131973751 150827144 263947502 527895004 1055790008