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58435097 = 725322501
BaseRepresentation
bin1101111011101…
…0011000011001
311001221210212212
43132322120121
5104424410342
65444244505
71306455500
oct336723031
9131853785
1058435097
112aa92176
12176a0735
13c14c8a6
147a91837
1551e4182
hex37ba619

58435097 has 12 divisors (see below), whose sum is σ = 69261156. Its totient is φ = 49140000.

The previous prime is 58435081. The next prime is 58435109. The reversal of 58435097 is 79053485.

It can be written as a sum of positive squares in 2 ways, for example, as 53816896 + 4618201 = 7336^2 + 2149^2 .

It is not a de Polignac number, because 58435097 - 24 = 58435081 is a prime.

It is a super-2 number, since 2×584350972 = 6829321122798818, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58435007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8654 + ... + 13847.

It is an arithmetic number, because the mean of its divisors is an integer number (5771763).

Almost surely, 258435097 is an apocalyptic number.

It is an amenable number.

58435097 is a deficient number, since it is larger than the sum of its proper divisors (10826059).

58435097 is a wasteful number, since it uses less digits than its factorization.

58435097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22568 (or 22561 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 41.

The square root of 58435097 is about 7644.2852510879. The cubic root of 58435097 is about 388.0531886732.

The spelling of 58435097 in words is "fifty-eight million, four hundred thirty-five thousand, ninety-seven".

Divisors: 1 7 49 53 371 2597 22501 157507 1102549 1192553 8347871 58435097