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1055146752 = 283211173179
BaseRepresentation
bin111110111001000…
…100001100000000
32201112110000020100
4332321010030000
54130104144002
6252411242400
735101412412
oct7671041400
92645400210
101055146752
114a166a410
12255449400
1313a7a80ba
14a01c49b2
156297611c
hex3ee44300

1055146752 has 432 divisors, whose sum is σ = 3673313280. Its totient is φ = 287539200.

The previous prime is 1055146751. The next prime is 1055146787. The reversal of 1055146752 is 2576415501.

1055146752 is a `hidden beast` number, since 10 + 551 + 46 + 7 + 52 = 666.

It is a super-2 number, since 2×10551467522 = 2226669336512299008, 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 (1055146751) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13356249 + ... + 13356327.

It is an arithmetic number, because the mean of its divisors is an integer number (8503040).

Almost surely, 21055146752 is an apocalyptic number.

1055146752 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 1055146752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1836656640).

1055146752 is an abundant number, since it is smaller than the sum of its proper divisors (2618166528).

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

1055146752 is a wasteful number, since it uses less digits than its factorization.

1055146752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 143 counting only the distinct ones).

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

The square root of 1055146752 is about 32483.0225194639. The cubic root of 1055146752 is about 1018.0543301725.

The spelling of 1055146752 in words is "one billion, fifty-five million, one hundred forty-six thousand, seven hundred fifty-two".