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1055165472 = 25324578017
BaseRepresentation
bin111110111001001…
…000110000100000
32201112110221220200
4332321020300200
54130110243342
6252411505200
735101521114
oct7671106040
92645427820
101055165472
114a1682489
12255458200
1313a7b378a
14a01cb744
156297b94c
hex3ee48c20

1055165472 has 72 divisors (see below), whose sum is σ = 3007567836. Its totient is φ = 350908416.

The previous prime is 1055165467. The next prime is 1055165521. The reversal of 1055165472 is 2745615501.

1055165472 is a `hidden beast` number, since 1 + 0 + 551 + 65 + 47 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 993762576 + 61402896 = 31524^2 + 7836^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×10551654722 = 2226748346601965568, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 127608 + ... + 135624.

Almost surely, 21055165472 is an apocalyptic number.

1055165472 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 1055165472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1503783918).

1055165472 is an abundant number, since it is smaller than the sum of its proper divisors (1952402364).

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

1055165472 is a wasteful number, since it uses less digits than its factorization.

1055165472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8490 (or 8479 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 1055165472 is about 32483.3106687111. The cubic root of 1055165472 is about 1018.0603507772.

The spelling of 1055165472 in words is "one billion, fifty-five million, one hundred sixty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 457 914 1371 1828 2742 3656 4113 5484 7312 8017 8226 10968 14624 16034 16452 21936 24051 32068 32904 43872 48102 64136 65808 72153 96204 128272 131616 144306 192408 256544 288612 384816 577224 769632 1154448 2308896 3663769 7327538 10991307 14655076 21982614 29310152 32973921 43965228 58620304 65947842 87930456 117240608 131895684 175860912 263791368 351721824 527582736 1055165472