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1057472676 = 2232132259557
BaseRepresentation
bin111111000001111…
…100000010100100
32201200211011210200
4333001330002210
54131203111201
6252533150500
735130240501
oct7701740244
92650734720
101057472676
114a2a08967
1225618b430
1313b1109a0
14a062c4a8
1562c85386
hex3f07c0a4

1057472676 has 36 divisors (see below), whose sum is σ = 2878676892. Its totient is φ = 325376064.

The previous prime is 1057472659. The next prime is 1057472681. The reversal of 1057472676 is 6762747501.

1057472676 is a `hidden beast` number, since 1 + 0 + 574 + 7 + 2 + 6 + 76 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 591948900 + 465523776 = 24330^2 + 21576^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×10574726762 = 2236496920973201952, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1129311 + ... + 1130246.

It is an arithmetic number, because the mean of its divisors is an integer number (79963247).

Almost surely, 21057472676 is an apocalyptic number.

It is an amenable number.

1057472676 is an abundant number, since it is smaller than the sum of its proper divisors (1821204216).

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

1057472676 is a wasteful number, since it uses less digits than its factorization.

1057472676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2259580 (or 2259575 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The square root of 1057472676 is about 32518.8049595922. The cubic root of 1057472676 is about 1018.8018341599.

The spelling of 1057472676 in words is "one billion, fifty-seven million, four hundred seventy-two thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 2259557 4519114 6778671 9038228 13557342 20336013 27114684 29374241 40672026 58748482 81344052 88122723 117496964 176245446 264368169 352490892 528736338 1057472676