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1055869536 = 25322948029
BaseRepresentation
bin111110111011110…
…100101001100000
32201120210201201010
4332323310221200
54130300311121
6252434540520
735110512561
oct7673645140
92646721633
101055869536
114a2013457
12255737740
1313a99c097
14a0332168
1562a6a376
hex3eef4a60

1055869536 has 48 divisors (see below), whose sum is σ = 2783818800. Its totient is φ = 350412288.

The previous prime is 1055869511. The next prime is 1055869547. The reversal of 1055869536 is 6359685501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×10558695362 = 2229720954105710592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 2031 + ... + 45998.

It is an arithmetic number, because the mean of its divisors is an integer number (57996225).

Almost surely, 21055869536 is an apocalyptic number.

1055869536 is a gapful number since it is divisible by the number (16) 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 1055869536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391909400).

1055869536 is an abundant number, since it is smaller than the sum of its proper divisors (1727949264).

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

1055869536 is a wasteful number, since it uses less digits than its factorization.

1055869536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48271 (or 48263 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 48.

The square root of 1055869536 is about 32494.1461805046. The cubic root of 1055869536 is about 1018.2867355785.

The spelling of 1055869536 in words is "one billion, fifty-five million, eight hundred sixty-nine thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 229 458 687 916 1374 1832 2748 3664 5496 7328 10992 21984 48029 96058 144087 192116 288174 384232 576348 768464 1152696 1536928 2305392 4610784 10998641 21997282 32995923 43994564 65991846 87989128 131983692 175978256 263967384 351956512 527934768 1055869536