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58130208 = 25321731383
BaseRepresentation
bin1101110110111…
…1111100100000
311001101022122200
43131233330200
5104340131313
65433533200
71304045553
oct335577440
9131338580
1058130208
112a8a40a4
1217574200
13c073b96
147a1269a
155183b73
hex376ff20

58130208 has 144 divisors (see below), whose sum is σ = 181149696. Its totient is φ = 17602560.

The previous prime is 58130203. The next prime is 58130209. The reversal of 58130208 is 80203185.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (58130203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151585 + ... + 151967.

It is an arithmetic number, because the mean of its divisors is an integer number (1257984).

Almost surely, 258130208 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 58130208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90574848).

58130208 is an abundant number, since it is smaller than the sum of its proper divisors (123019488).

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

58130208 is a wasteful number, since it uses less digits than its factorization.

58130208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 58130208 is about 7624.3168874333. The cubic root of 58130208 is about 387.3771137219.

The spelling of 58130208 in words is "fifty-eight million, one hundred thirty thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 31 32 34 36 48 51 62 68 72 93 96 102 124 136 144 153 186 204 248 272 279 288 306 372 383 408 496 527 544 558 612 744 766 816 992 1054 1116 1149 1224 1488 1532 1581 1632 2108 2232 2298 2448 2976 3064 3162 3447 4216 4464 4596 4743 4896 6128 6324 6511 6894 8432 8928 9192 9486 11873 12256 12648 13022 13788 16864 18384 18972 19533 23746 25296 26044 27576 35619 36768 37944 39066 47492 50592 52088 55152 58599 71238 75888 78132 94984 104176 106857 110304 117198 142476 151776 156264 189968 201841 208352 213714 234396 284952 312528 379936 403682 427428 468792 569904 605523 625056 807364 854856 937584 1139808 1211046 1614728 1709712 1816569 1875168 2422092 3229456 3419424 3633138 4844184 6458912 7266276 9688368 14532552 19376736 29065104 58130208