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58196424 = 233111331547
BaseRepresentation
bin1101111000000…
…0000111001000
311001111200111010
43132000013020
5104344241144
65435203520
71304442606
oct336000710
9131450433
1058196424
112a939920
12175a65a0
13c098070
147a2c876
1551985b9
hex37801c8

58196424 has 128 divisors (see below), whose sum is σ = 176762880. Its totient is φ = 15724800.

The previous prime is 58196399. The next prime is 58196429. The reversal of 58196424 is 42469185.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (58196429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106119 + ... + 106665.

It is an arithmetic number, because the mean of its divisors is an integer number (1380960).

Almost surely, 258196424 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 58196424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88381440).

58196424 is an abundant number, since it is smaller than the sum of its proper divisors (118566456).

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

58196424 is a wasteful number, since it uses less digits than its factorization.

58196424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 607 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 58196424 is about 7628.6580733442. The cubic root of 58196424 is about 387.5241447321.

The spelling of 58196424 in words is "fifty-eight million, one hundred ninety-six thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 31 33 39 44 52 62 66 78 88 93 104 124 132 143 156 186 248 264 286 312 341 372 403 429 547 572 682 744 806 858 1023 1094 1144 1209 1364 1612 1641 1716 2046 2188 2418 2728 3224 3282 3432 4092 4376 4433 4836 6017 6564 7111 8184 8866 9672 12034 13128 13299 14222 16957 17732 18051 21333 24068 26598 28444 33914 35464 36102 42666 48136 50871 53196 56888 67828 72204 78221 85332 101742 106392 135656 144408 156442 170664 186527 203484 220441 234663 312884 373054 406968 440882 469326 559581 625768 661323 746108 881764 938652 1119162 1322646 1492216 1763528 1877304 2238324 2424851 2645292 4476648 4849702 5290584 7274553 9699404 14549106 19398808 29098212 58196424