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1057245648 = 24337935807
BaseRepresentation
bin111111000001000…
…100100111010000
32201200101122101020
4333001010213100
54131123330043
6252524235440
735125303554
oct7701044720
92650348336
101057245648
114a2873338
1225609bb80
1313b061554
14a05ad864
1562c3ce83
hex3f0449d0

1057245648 has 40 divisors (see below), whose sum is σ = 2732408448. Its totient is φ = 352261632.

The previous prime is 1057245647. The next prime is 1057245661. The reversal of 1057245648 is 8465427501.

It is a happy number.

It is a super-2 number, since 2×10572456482 = 2235536720429879808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057245647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 179161 + ... + 184967.

Almost surely, 21057245648 is an apocalyptic number.

It is an amenable number.

1057245648 is an abundant number, since it is smaller than the sum of its proper divisors (1675162800).

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

1057245648 is a wasteful number, since it uses less digits than its factorization.

1057245648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9611 (or 9605 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The square root of 1057245648 is about 32515.3140535348. The cubic root of 1057245648 is about 1018.7289203462.

The spelling of 1057245648 in words is "one billion, fifty-seven million, two hundred forty-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 3793 5807 7586 11379 11614 15172 17421 22758 23228 30344 34842 45516 46456 60688 69684 91032 92912 139368 182064 278736 22025951 44051902 66077853 88103804 132155706 176207608 264311412 352415216 528622824 1057245648