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1057418385 = 35173407483
BaseRepresentation
bin111111000001101…
…110110010010001
32201200201102022220
4333001232302101
54131144342020
6252532051253
735126623302
oct7701566221
92650642286
101057418385
114a29810a1
12256163b29
1313b0c206a
14a06167a9
1562c74240
hex3f06ec91

1057418385 has 16 divisors (see below), whose sum is σ = 1701653184. Its totient is φ = 560695232.

The previous prime is 1057418371. The next prime is 1057418429. The reversal of 1057418385 is 5838147501.

It is a cyclic number.

It is not a de Polignac number, because 1057418385 - 217 = 1057287313 is a prime.

It is a super-2 number, since 2×10574183852 = 2236267281872016450, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201147 + ... + 206336.

It is an arithmetic number, because the mean of its divisors is an integer number (106353324).

Almost surely, 21057418385 is an apocalyptic number.

1057418385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1057418385 is a deficient number, since it is larger than the sum of its proper divisors (644234799).

1057418385 is a wasteful number, since it uses less digits than its factorization.

1057418385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407664.

The product of its (nonzero) digits is 134400, while the sum is 42.

The square root of 1057418385 is about 32517.9701857296. The cubic root of 1057418385 is about 1018.7843986528.

The spelling of 1057418385 in words is "one billion, fifty-seven million, four hundred eighteen thousand, three hundred eighty-five".

Divisors: 1 3 5 15 173 519 865 2595 407483 1222449 2037415 6112245 70494559 211483677 352472795 1057418385