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58898016 = 253431733
BaseRepresentation
bin1110000010101…
…1011001100000
311002211022220000
43200223121200
5110034214031
65502220000
71313424222
oct340533140
9132738800
1058898016
1130278a51
1217884600
13c2824c8
147b72412
1552863e6
hex382b660

58898016 has 120 divisors (see below), whose sum is σ = 179049024. Its totient is φ = 18973440.

The previous prime is 58897997. The next prime is 58898027. The reversal of 58898016 is 61089885.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 79986 + ... + 80718.

Almost surely, 258898016 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 58898016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89524512).

58898016 is an abundant number, since it is smaller than the sum of its proper divisors (120151008).

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

58898016 is a wasteful number, since it uses less digits than its factorization.

58898016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The square root of 58898016 is about 7674.5042836655. The cubic root of 58898016 is about 389.0752052463.

The spelling of 58898016 in words is "fifty-eight million, eight hundred ninety-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 81 93 96 108 124 144 162 186 216 248 279 288 324 372 432 496 558 648 733 744 837 864 992 1116 1296 1466 1488 1674 2199 2232 2511 2592 2932 2976 3348 4398 4464 5022 5864 6597 6696 8796 8928 10044 11728 13194 13392 17592 19791 20088 22723 23456 26388 26784 35184 39582 40176 45446 52776 59373 68169 70368 79164 80352 90892 105552 118746 136338 158328 181784 204507 211104 237492 272676 316656 363568 409014 474984 545352 613521 633312 727136 818028 949968 1090704 1227042 1636056 1840563 1899936 2181408 2454084 3272112 3681126 4908168 6544224 7362252 9816336 14724504 19632672 29449008 58898016