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58342368 = 2537175107
BaseRepresentation
bin1101111010001…
…1101111100000
311001210002200110
43132203233200
5104413423433
65442251320
71305621240
oct336435740
9131702613
1058342368
112aa29537
1217656b40
13c119616
147a69b20
1551c6963
hex37a3be0

58342368 has 96 divisors (see below), whose sum is σ = 185359104. Its totient is φ = 15685632.

The previous prime is 58342367. The next prime is 58342379. The reversal of 58342368 is 86324385.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58342367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8871 + ... + 13977.

It is an arithmetic number, because the mean of its divisors is an integer number (1930824).

Almost surely, 258342368 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 58342368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92679552).

58342368 is an abundant number, since it is smaller than the sum of its proper divisors (127016736).

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

58342368 is a wasteful number, since it uses less digits than its factorization.

58342368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5144 (or 5136 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The square root of 58342368 is about 7638.2175931300. The cubic root of 58342368 is about 387.8478164645.

The spelling of 58342368 in words is "fifty-eight million, three hundred forty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 68 84 96 102 112 119 136 168 204 224 238 272 336 357 408 476 544 672 714 816 952 1428 1632 1904 2856 3808 5107 5712 10214 11424 15321 20428 30642 35749 40856 61284 71498 81712 86819 107247 122568 142996 163424 173638 214494 245136 260457 285992 347276 428988 490272 520914 571984 607733 694552 857976 1041828 1143968 1215466 1389104 1715952 1823199 2083656 2430932 2778208 3431904 3646398 4167312 4861864 7292796 8334624 9723728 14585592 19447456 29171184 58342368