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1055533752 = 23327131961139
BaseRepresentation
bin111110111010100…
…010101010111000
32201120011200002200
4332322202222320
54130204040002
6252423430200
735104613610
oct7672425270
92646150080
101055533752
114a1904149
122555b5360
1313a8b22b0
14a0285a40
1562a00b1c
hex3eea2ab8

1055533752 has 384 divisors, whose sum is σ = 3791424000. Its totient is φ = 257541120.

The previous prime is 1055533751. The next prime is 1055533763. The reversal of 1055533752 is 2573355501.

1055533752 is a `hidden beast` number, since 1 + 0 + 55 + 533 + 75 + 2 = 666.

It is a super-2 number, since 2×10555337522 = 2228303003222395008, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1055533751) by changing a digit.

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, 7593699 + ... + 7593837.

It is an arithmetic number, because the mean of its divisors is an integer number (9873500).

Almost surely, 21055533752 is an apocalyptic number.

1055533752 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 1055533752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1895712000).

1055533752 is an abundant number, since it is smaller than the sum of its proper divisors (2735890248).

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

1055533752 is a wasteful number, since it uses less digits than its factorization.

1055533752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 78750, while the sum is 36.

The square root of 1055533752 is about 32488.9789313238. The cubic root of 1055533752 is about 1018.1787801181.

The spelling of 1055533752 in words is "one billion, fifty-five million, five hundred thirty-three thousand, seven hundred fifty-two".