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58993407 = 33111391429
BaseRepresentation
bin1110000100001…
…0101011111111
311010000011202000
43201002223333
5110100242112
65504233343
71314302304
oct341025377
9133004660
1058993407
1130333690
121790b853
13c2b6a55
147b990ab
1552a47dc
hex3842aff

58993407 has 32 divisors (see below), whose sum is σ = 96096000. Its totient is φ = 35471520.

The previous prime is 58993391. The next prime is 58993409. The reversal of 58993407 is 70439985.

It is not a de Polignac number, because 58993407 - 24 = 58993391 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58993409) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40569 + ... + 41997.

It is an arithmetic number, because the mean of its divisors is an integer number (3003000).

Almost surely, 258993407 is an apocalyptic number.

58993407 is a deficient number, since it is larger than the sum of its proper divisors (37102593).

58993407 is a wasteful number, since it uses less digits than its factorization.

58993407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 58993407 is about 7680.7165681335. The cubic root of 58993407 is about 389.2851401854.

The spelling of 58993407 in words is "fifty-eight million, nine hundred ninety-three thousand, four hundred seven".

Divisors: 1 3 9 11 27 33 99 139 297 417 1251 1429 1529 3753 4287 4587 12861 13761 15719 38583 41283 47157 141471 198631 424413 595893 1787679 2184941 5363037 6554823 19664469 58993407