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1057487952 = 24326638273
BaseRepresentation
bin111111000001111…
…111110001010000
32201200211221202110
4333001333301100
54131204103302
6252533345320
735130333153
oct7701776120
92650757673
101057487952
114a2a19394
12256198240
1313b117921
14a0633c9a
1562c89b6c
hex3f07fc50

1057487952 has 40 divisors (see below), whose sum is σ = 2733200064. Its totient is φ = 352321024.

The previous prime is 1057487911. The next prime is 1057487969. The reversal of 1057487952 is 2597847501.

It is a super-2 number, since 2×10574879522 = 2236561537250308608, which contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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, 123688 + ... + 131960.

Almost surely, 21057487952 is an apocalyptic number.

1057487952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1057487952 is an abundant number, since it is smaller than the sum of its proper divisors (1675712112).

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

1057487952 is a wasteful number, since it uses less digits than its factorization.

1057487952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10947 (or 10941 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 48.

The square root of 1057487952 is about 32519.0398382240. The cubic root of 1057487952 is about 1018.8067399263.

The spelling of 1057487952 in words is "one billion, fifty-seven million, four hundred eighty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 2663 5326 7989 8273 10652 15978 16546 21304 24819 31956 33092 42608 49638 63912 66184 99276 127824 132368 198552 397104 22030999 44061998 66092997 88123996 132185994 176247992 264371988 352495984 528743976 1057487952