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58023432 = 23332959157
BaseRepresentation
bin1101110101010…
…1111000001000
311001011220012000
43131111320020
5104323222212
65431351000
71303122345
oct335257010
9131156160
1058023432
112a830955
1217522460
13c0373bc
1479c57cc
1551621dc
hex3755e08

58023432 has 128 divisors (see below), whose sum is σ = 170640000. Its totient is φ = 18240768.

The previous prime is 58023347. The next prime is 58023439. The reversal of 58023432 is 23432085.

58023432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×580234322 = 6733437322117248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 58023396 and 58023405.

It is not an unprimeable number, because it can be changed into a prime (58023439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 369498 + ... + 369654.

It is an arithmetic number, because the mean of its divisors is an integer number (1333125).

Almost surely, 258023432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58023432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85320000).

58023432 is an abundant number, since it is smaller than the sum of its proper divisors (112616568).

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

58023432 is a wasteful number, since it uses less digits than its factorization.

58023432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 58023432 is about 7617.3113366857. The cubic root of 58023432 is about 387.1397848499.

The spelling of 58023432 in words is "fifty-eight million, twenty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 59 72 87 108 116 118 157 174 177 216 232 236 261 314 348 354 471 472 522 531 628 696 708 783 942 1044 1062 1256 1413 1416 1566 1593 1711 1884 2088 2124 2826 3132 3186 3422 3768 4239 4248 4553 5133 5652 6264 6372 6844 8478 9106 9263 10266 11304 12744 13659 13688 15399 16956 18212 18526 20532 27318 27789 30798 33912 36424 37052 40977 41064 46197 54636 55578 61596 74104 81954 83367 92394 109272 111156 122931 123192 163908 166734 184788 222312 245862 250101 268627 327816 333468 369576 491724 500202 537254 666936 805881 983448 1000404 1074508 1611762 2000808 2149016 2417643 3223524 4835286 6447048 7252929 9670572 14505858 19341144 29011716 58023432