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58631328 = 25327127229
BaseRepresentation
bin1101111110101…
…0010010100000
311002022210001200
43133222102200
5110002200303
65452401200
71311233550
oct337522240
9132283050
1058631328
1130106648
1217776200
13c1bacc2
147b03160
1552323a3
hex37ea4a0

58631328 has 144 divisors (see below), whose sum is σ = 192890880. Its totient is φ = 16547328.

The previous prime is 58631327. The next prime is 58631329. The reversal of 58631328 is 82313685.

58631328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (58631327) and next prime (58631329).

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 58631292 and 58631301.

It is not an unprimeable number, because it can be changed into a prime (58631327) 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 23 ways as a sum of consecutive naturals, for example, 255918 + ... + 256146.

It is an arithmetic number, because the mean of its divisors is an integer number (1339520).

Almost surely, 258631328 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 58631328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96445440).

58631328 is an abundant number, since it is smaller than the sum of its proper divisors (134259552).

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

58631328 is a wasteful number, since it uses less digits than its factorization.

58631328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 368 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 58631328 is about 7657.1096374546. The cubic root of 58631328 is about 388.4870773816.

The spelling of 58631328 in words is "fifty-eight million, six hundred thirty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 127 144 168 224 229 252 254 288 336 381 458 504 508 672 687 762 889 916 1008 1016 1143 1374 1524 1603 1778 1832 2016 2032 2061 2286 2667 2748 3048 3206 3556 3664 4064 4122 4572 4809 5334 5496 6096 6412 7112 7328 8001 8244 9144 9618 10668 10992 12192 12824 14224 14427 16002 16488 18288 19236 21336 21984 25648 28448 28854 29083 32004 32976 36576 38472 42672 51296 57708 58166 64008 65952 76944 85344 87249 115416 116332 128016 153888 174498 203581 230832 232664 256032 261747 348996 407162 461664 465328 523494 610743 697992 814324 930656 1046988 1221486 1395984 1628648 1832229 2093976 2442972 2791968 3257296 3664458 4187952 4885944 6514592 7328916 8375904 9771888 14657832 19543776 29315664 58631328