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75058974 = 234597853
BaseRepresentation
bin1000111100101…
…00111100011110
312020020101120000
410132110330132
5123203341344
611240435130
71600663554
oct436247436
9166211500
1075058974
1139406a11
1221178aa6
13127203c3
149d7bbd4
1568c9a69
hex4794f1e

75058974 has 40 divisors (see below), whose sum is σ = 171060120. Its totient is φ = 24592464.

The previous prime is 75058957. The next prime is 75058993. The reversal of 75058974 is 47985057.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5632 + ... + 13484.

It is an arithmetic number, because the mean of its divisors is an integer number (4276503).

Almost surely, 275058974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75058974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85530060).

75058974 is an abundant number, since it is smaller than the sum of its proper divisors (96001146).

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

75058974 is a wasteful number, since it uses less digits than its factorization.

75058974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7926 (or 7917 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The square root of 75058974 is about 8663.6582342565. The cubic root of 75058974 is about 421.8268383539.

The spelling of 75058974 in words is "seventy-five million, fifty-eight thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 54 59 81 118 162 177 354 531 1062 1593 3186 4779 7853 9558 15706 23559 47118 70677 141354 212031 424062 463327 636093 926654 1272186 1389981 2779962 4169943 8339886 12509829 25019658 37529487 75058974