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1057623939 = 3329247991
BaseRepresentation
bin111111000010100…
…000111110000011
32201201002212022000
4333002200332003
54131222431224
6252540315043
735131440501
oct7702407603
92651085260
101057623939
114a3001579
12256242a83
1313b1647a8
14a066b671
1562cb50c9
hex3f0a0f83

1057623939 has 48 divisors (see below), whose sum is σ = 1658941440. Its totient is φ = 665612640.

The previous prime is 1057623937. The next prime is 1057623943. The reversal of 1057623939 is 9393267501.

1057623939 is a `hidden beast` number, since 10 + 5 + 7 + 623 + 9 + 3 + 9 = 666.

1057623939 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1057623939 - 21 = 1057623937 is a prime.

It is a super-2 number, since 2×10576239392 = 2237136792691751442, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1057623894 and 1057623903.

It is not an unprimeable number, because it can be changed into a prime (1057623937) 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, 1066734 + ... + 1067724.

It is an arithmetic number, because the mean of its divisors is an integer number (34561280).

Almost surely, 21057623939 is an apocalyptic number.

1057623939 is a deficient number, since it is larger than the sum of its proper divisors (601317501).

1057623939 is an equidigital number, since it uses as much as digits as its factorization.

1057623939 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 1057623939 is about 32521.1306537765. The cubic root of 1057623939 is about 1018.8504089924.

The spelling of 1057623939 in words is "one billion, fifty-seven million, six hundred twenty-three thousand, nine hundred thirty-nine".

Divisors: 1 3 9 27 29 47 87 141 261 423 783 841 991 1269 1363 2523 2973 4089 7569 8919 12267 22707 26757 28739 36801 39527 46577 86217 118581 139731 258651 355743 419193 775953 833431 1067229 1257579 1350733 2500293 4052199 7500879 12156597 22502637 36469791 39171257 117513771 352541313 1057623939