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1052470800 = 2433521923223
BaseRepresentation
bin111110101110110…
…110111000010000
32201100102001112000
4332232312320100
54123413031200
6252234034000
735036565663
oct7656667020
92640361460
101052470800
114a0101987
12254578900
1313a07c0b4
149dac96da
15625e8300
hex3ebb6e10

1052470800 has 480 divisors, whose sum is σ = 4133068800. Its totient is φ = 253186560.

The previous prime is 1052470751. The next prime is 1052470829. The reversal of 1052470800 is 80742501.

It is a super-2 number, since 2×10524708002 = 2215389569705280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4719489 + ... + 4719711.

It is an arithmetic number, because the mean of its divisors is an integer number (8610560).

Almost surely, 21052470800 is an apocalyptic number.

1052470800 is a gapful number since it is divisible by the number (10) 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 1052470800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2066534400).

1052470800 is an abundant number, since it is smaller than the sum of its proper divisors (3080598000).

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

1052470800 is a wasteful number, since it uses less digits than its factorization.

1052470800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 1052470800 is about 32441.8063615453. The cubic root of 1052470800 is about 1017.1929742320.

The spelling of 1052470800 in words is "one billion, fifty-two million, four hundred seventy thousand, eight hundred".