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1055057472 = 263272331367
BaseRepresentation
bin111110111000101…
…110011001000000
32201112021110202200
4332320232121000
54130043314342
6252405313200
735100561210
oct7670563100
92645243680
101055057472
114a1609327
12255405800
1313a776581
14a01a0240
156295994c
hex3ee2e640

1055057472 has 336 divisors, whose sum is σ = 3732897792. Its totient is φ = 278277120.

The previous prime is 1055057447. The next prime is 1055057483. The reversal of 1055057472 is 2747505501.

1055057472 is a `hidden beast` number, since 10 + 5 + 5 + 0 + 574 + 72 = 666.

1055057472 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 (336).

It is a super-2 number, since 2×10550574722 = 2226292538446061568, 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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2874633 + ... + 2874999.

Almost surely, 21055057472 is an apocalyptic number.

1055057472 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 1055057472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1866448896).

1055057472 is an abundant number, since it is smaller than the sum of its proper divisors (2677840320).

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

1055057472 is a wasteful number, since it uses less digits than its factorization.

1055057472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 49000, while the sum is 36.

The square root of 1055057472 is about 32481.6482340413. The cubic root of 1055057472 is about 1018.0256155398.

The spelling of 1055057472 in words is "one billion, fifty-five million, fifty-seven thousand, four hundred seventy-two".