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58073088 = 213317139
BaseRepresentation
bin1101110110001…
…0000000000000
311001021102022010
43131202000000
5104331314323
65432412520
71303420203
oct335420000
9131242263
1058073088
112a865197
1217547140
13c053b98
1479d993a
155171c93
hex3762000

58073088 has 112 divisors (see below), whose sum is σ = 165140640. Its totient is φ = 18087936.

The previous prime is 58073087. The next prime is 58073111. The reversal of 58073088 is 88037085.

It is not an unprimeable number, because it can be changed into a prime (58073087) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 417723 + ... + 417861.

It is an arithmetic number, because the mean of its divisors is an integer number (1474470).

Almost surely, 258073088 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 58073088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82570320).

58073088 is an abundant number, since it is smaller than the sum of its proper divisors (107067552).

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

58073088 is a wasteful number, since it uses less digits than its factorization.

58073088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 58073088 is about 7620.5700574170. The cubic root of 58073088 is about 387.2501904294.

The spelling of 58073088 in words is "fifty-eight million, seventy-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 139 192 204 256 272 278 384 408 417 512 544 556 768 816 834 1024 1088 1112 1536 1632 1668 2048 2176 2224 2363 3072 3264 3336 4096 4352 4448 4726 6144 6528 6672 7089 8192 8704 8896 9452 12288 13056 13344 14178 17408 17792 18904 24576 26112 26688 28356 34816 35584 37808 52224 53376 56712 69632 71168 75616 104448 106752 113424 139264 142336 151232 208896 213504 226848 284672 302464 417792 427008 453696 569344 604928 854016 907392 1138688 1209856 1708032 1814784 2419712 3416064 3629568 4839424 7259136 9678848 14518272 19357696 29036544 58073088