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3058272 = 253273741
BaseRepresentation
bin1011101010101001100000
312202101011100
423222221200
51240331042
6145314400
734665150
oct13525140
95671140
103058272
1117a97a8
121035a00
13831039
14598760
1540624c
hex2eaa60

3058272 has 144 divisors (see below), whose sum is σ = 10456992. Its totient is φ = 829440.

The previous prime is 3058267. The next prime is 3058303. The reversal of 3058272 is 2728503.

3058272 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74572 + ... + 74612.

It is an arithmetic number, because the mean of its divisors is an integer number (72618).

Almost surely, 23058272 is an apocalyptic number.

3058272 is a gapful number since it is divisible by the number (32) 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 3058272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5228496).

3058272 is an abundant number, since it is smaller than the sum of its proper divisors (7398720).

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

3058272 is a wasteful number, since it uses less digits than its factorization.

3058272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 3058272 is about 1748.7915827794. The cubic root of 3058272 is about 145.1527838647.

The spelling of 3058272 in words is "three million, fifty-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 37 41 42 48 56 63 72 74 82 84 96 111 112 123 126 144 148 164 168 222 224 246 252 259 287 288 296 328 333 336 369 444 492 504 518 574 592 656 666 672 738 777 861 888 984 1008 1036 1148 1184 1312 1332 1476 1517 1554 1722 1776 1968 2016 2072 2296 2331 2583 2664 2952 3034 3108 3444 3552 3936 4144 4551 4592 4662 5166 5328 5904 6068 6216 6888 8288 9102 9184 9324 10332 10619 10656 11808 12136 12432 13653 13776 18204 18648 20664 21238 24272 24864 27306 27552 31857 36408 37296 41328 42476 48544 54612 63714 72816 74592 82656 84952 95571 109224 127428 145632 169904 191142 218448 254856 339808 382284 436896 509712 764568 1019424 1529136 3058272