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390503957 = 17376011033
BaseRepresentation
bin10111010001101…
…001111000010101
31000012210122201112
4113101221320111
51244432111312
6102425504405
712451141334
oct2721517025
91005718645
10390503957
1119047a448
12aa942105
1362b9823c
1439c11d1b
1524439d22
hex17469e15

390503957 has 16 divisors (see below), whose sum is σ = 425768112. Its totient is φ = 356659200.

The previous prime is 390503951. The next prime is 390503987. The reversal of 390503957 is 759305093.

It can be written as a sum of positive squares in 8 ways, for example, as 224970001 + 165533956 = 14999^2 + 12866^2 .

It is a cyclic number.

It is not a de Polignac number, because 390503957 - 228 = 122068501 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390503951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 377513 + ... + 378545.

It is an arithmetic number, because the mean of its divisors is an integer number (26610507).

Almost surely, 2390503957 is an apocalyptic number.

390503957 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

It is an amenable number.

390503957 is a deficient number, since it is larger than the sum of its proper divisors (35264155).

390503957 is a wasteful number, since it uses less digits than its factorization.

390503957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1688.

The product of its (nonzero) digits is 127575, while the sum is 41.

The square root of 390503957 is about 19761.1729661981. The cubic root of 390503957 is about 730.9289212854.

The spelling of 390503957 in words is "three hundred ninety million, five hundred three thousand, nine hundred fifty-seven".

Divisors: 1 17 37 601 629 1033 10217 17561 22237 38221 378029 620833 649757 10554161 22970821 390503957