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58231992 = 23372132293
BaseRepresentation
bin1101111000100…
…0110010111000
311001120111021110
43132020302320
5104401410432
65440040320
71304651400
oct336106270
9131514243
1058231992
112a963615
12176030a0
13c0ab300
147a3b800
1551a3dcc
hex3788cb8

58231992 has 144 divisors (see below), whose sum is σ = 184002840. Its totient is φ = 15305472.

The previous prime is 58231967. The next prime is 58231993. The reversal of 58231992 is 29913285.

58231992 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 (39).

It is a self number, because there is not a number n which added to its sum of digits gives 58231992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58231993) 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 35 ways as a sum of consecutive naturals, for example, 198598 + ... + 198890.

Almost surely, 258231992 is an apocalyptic number.

58231992 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58231992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92001420).

58231992 is an abundant number, since it is smaller than the sum of its proper divisors (125770848).

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

58231992 is a wasteful number, since it uses less digits than its factorization.

58231992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 318 counting only the distinct ones).

The product of its digits is 38880, while the sum is 39.

The square root of 58231992 is about 7630.9889267381. The cubic root of 58231992 is about 387.6030765677.

The spelling of 58231992 in words is "fifty-eight million, two hundred thirty-one thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 49 52 56 78 84 91 98 104 147 156 168 169 182 196 273 293 294 312 338 364 392 507 546 586 588 637 676 728 879 1014 1092 1172 1176 1183 1274 1352 1758 1911 2028 2051 2184 2344 2366 2548 3516 3549 3809 3822 4056 4102 4732 5096 6153 7032 7098 7618 7644 8204 8281 9464 11427 12306 14196 14357 15236 15288 16408 16562 22854 24612 24843 26663 28392 28714 30472 33124 43071 45708 49224 49517 49686 53326 57428 66248 79989 86142 91416 99034 99372 106652 114856 148551 159978 172284 186641 198068 198744 213304 297102 319956 344568 346619 373282 396136 559923 594204 639912 693238 746564 1039857 1119846 1188408 1386476 1493128 2079714 2239692 2426333 2772952 4159428 4479384 4852666 7278999 8318856 9705332 14557998 19410664 29115996 58231992