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1055775672 = 233278923537
BaseRepresentation
bin111110111011011…
…101101110111000
32201120121221221200
4332323131232320
54130234310142
6252432534200
735106642120
oct7673355670
92646557850
101055775672
114a1a59986
122556b1360
1313a968443
14a0309c80
1562a4c64c
hex3eeddbb8

1055775672 has 96 divisors (see below), whose sum is σ = 3304735200. Its totient is φ = 298248192.

The previous prime is 1055775661. The next prime is 1055775697. The reversal of 1055775672 is 2765775501.

It is a happy number.

1055775672 is a `hidden beast` number, since 1 + 0 + 5 + 577 + 5 + 6 + 72 = 666.

It is a super-2 number, since 2×10557756722 = 2229324539174103168, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33088 + ... + 56624.

It is an arithmetic number, because the mean of its divisors is an integer number (34424325).

Almost surely, 21055775672 is an apocalyptic number.

1055775672 is a gapful number since it is divisible by the number (12) 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 1055775672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1652367600).

1055775672 is an abundant number, since it is smaller than the sum of its proper divisors (2248959528).

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

1055775672 is a wasteful number, since it uses less digits than its factorization.

1055775672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23645 (or 23638 counting only the distinct ones).

The product of its (nonzero) digits is 514500, while the sum is 45.

The square root of 1055775672 is about 32492.7018267179. The cubic root of 1055775672 is about 1018.2565603547.

The spelling of 1055775672 in words is "one billion, fifty-five million, seven hundred seventy-five thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 89 126 168 178 252 267 356 504 534 623 712 801 1068 1246 1602 1869 2136 2492 3204 3738 4984 5607 6408 7476 11214 14952 22428 23537 44856 47074 70611 94148 141222 164759 188296 211833 282444 329518 423666 494277 564888 659036 847332 988554 1318072 1482831 1694664 1977108 2094793 2965662 3954216 4189586 5931324 6284379 8379172 11862648 12568758 14663551 16758344 18853137 25137516 29327102 37706274 43990653 50275032 58654204 75412548 87981306 117308408 131971959 150825096 175962612 263943918 351925224 527887836 1055775672