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58872096 = 253567113
BaseRepresentation
bin1110000010010…
…1000100100000
311002210000100000
43200211010200
5110032401341
65501500000
71313255523
oct340450440
9132700300
1058872096
1130260528
1217871600
13c27377a
147b66bba
15527d8b6
hex3825120

58872096 has 144 divisors (see below), whose sum is σ = 177768864. Its totient is φ = 19160064.

The previous prime is 58872067. The next prime is 58872097. The reversal of 58872096 is 69027885.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58872097) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 520936 + ... + 521048.

It is an arithmetic number, because the mean of its divisors is an integer number (1234506).

Almost surely, 258872096 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 58872096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88884432).

58872096 is an abundant number, since it is smaller than the sum of its proper divisors (118896768).

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

58872096 is a wasteful number, since it uses less digits than its factorization.

58872096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 58872096 is about 7672.8153894122. The cubic root of 58872096 is about 389.0181217781.

The spelling of 58872096 in words is "fifty-eight million, eight hundred seventy-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 67 72 81 96 108 113 134 144 162 201 216 226 243 268 288 324 339 402 432 452 486 536 603 648 678 804 864 904 972 1017 1072 1206 1296 1356 1608 1808 1809 1944 2034 2144 2412 2592 2712 3051 3216 3616 3618 3888 4068 4824 5424 5427 6102 6432 7236 7571 7776 8136 9153 9648 10848 10854 12204 14472 15142 16272 16281 18306 19296 21708 22713 24408 27459 28944 30284 32544 32562 36612 43416 45426 48816 54918 57888 60568 65124 68139 73224 86832 90852 97632 109836 121136 130248 136278 146448 173664 181704 204417 219672 242272 260496 272556 292896 363408 408834 439344 520992 545112 613251 726816 817668 878688 1090224 1226502 1635336 1839753 2180448 2453004 3270672 3679506 4906008 6541344 7359012 9812016 14718024 19624032 29436048 58872096