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1055046564 = 223211132937191
BaseRepresentation
bin111110111000101…
…011101110100100
32201112020220210200
4332320223232210
54130042442224
6252405150500
735100514335
oct7670535644
92645226720
101055046564
114a1601110
122553bb430
1313a771610
14a019a28c
15629565c9
hex3ee2bba4

1055046564 has 288 divisors, whose sum is σ = 3346237440. Its totient is φ = 275788800.

The previous prime is 1055046541. The next prime is 1055046569. The reversal of 1055046564 is 4656405501.

1055046564 is a `hidden beast` number, since 1 + 0 + 5 + 50 + 46 + 564 = 666.

It is a super-2 number, since 2×10550465642 = 2226246504416412192, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1055046569) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5523709 + ... + 5523899.

It is an arithmetic number, because the mean of its divisors is an integer number (11618880).

Almost surely, 21055046564 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 1055046564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1673118720).

1055046564 is an abundant number, since it is smaller than the sum of its proper divisors (2291190876).

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

1055046564 is a wasteful number, since it uses less digits than its factorization.

1055046564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 1055046564 is about 32481.4803234089. The cubic root of 1055046564 is about 1018.0221071491.

The spelling of 1055046564 in words is "one billion, fifty-five million, forty-six thousand, five hundred sixty-four".