Search a number
-
+
58463664 = 243735367
BaseRepresentation
bin1101111100000…
…1010110110000
311002000021001220
43133001112300
5104431314124
65445025040
71306635000
oct337012660
9132007056
1058463664
1130001686
12176b5180
13c15c8ac
147a9c000
1551ec879
hex37c15b0

58463664 has 160 divisors (see below), whose sum is σ = 182131200. Its totient is φ = 16144128.

The previous prime is 58463659. The next prime is 58463701. The reversal of 58463664 is 46636485.

58463664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 872559 + ... + 872625.

It is an arithmetic number, because the mean of its divisors is an integer number (1138320).

Almost surely, 258463664 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 58463664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91065600).

58463664 is an abundant number, since it is smaller than the sum of its proper divisors (123667536).

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

58463664 is a wasteful number, since it uses less digits than its factorization.

58463664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 132 counting only the distinct ones).

The product of its digits is 414720, while the sum is 42.

The square root of 58463664 is about 7646.1535427952. The cubic root of 58463664 is about 388.1164138584.

The spelling of 58463664 in words is "fifty-eight million, four hundred sixty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 53 56 67 84 98 106 112 134 147 159 168 196 201 212 268 294 318 336 343 371 392 402 424 469 536 588 636 686 742 784 804 848 938 1029 1072 1113 1176 1272 1372 1407 1484 1608 1876 2058 2226 2352 2544 2597 2744 2814 2968 3216 3283 3551 3752 4116 4452 5194 5488 5628 5936 6566 7102 7504 7791 8232 8904 9849 10388 10653 11256 13132 14204 15582 16464 17808 18179 19698 20776 21306 22512 22981 24857 26264 28408 31164 36358 39396 41552 42612 45962 49714 52528 54537 56816 62328 68943 72716 74571 78792 85224 91924 99428 109074 124656 137886 145432 149142 157584 170448 173999 183848 198856 218148 275772 290864 298284 347998 367696 397712 436296 521997 551544 596568 695996 872592 1043994 1103088 1193136 1217993 1391992 2087988 2435986 2783984 3653979 4175976 4871972 7307958 8351952 9743944 14615916 19487888 29231832 58463664