Search a number
-
+
612139164 = 2237213731097
BaseRepresentation
bin100100011111001…
…000000010011100
31120122211220001220
4210133020002130
52223201423124
6140424133340
721112045200
oct4437100234
91518756056
10612139164
1129459a23a
12151007250
1399a89030
145b426b00
1538b19879
hex247c809c

612139164 has 144 divisors (see below), whose sum is σ = 1815494688. Its totient is φ = 159086592.

The previous prime is 612139159. The next prime is 612139201. The reversal of 612139164 is 461931216.

It is a super-2 number, since 2×6121391642 = 749428712205237792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 557464 + ... + 558560.

It is an arithmetic number, because the mean of its divisors is an integer number (12607602).

Almost surely, 2612139164 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 612139164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907747344).

612139164 is an abundant number, since it is smaller than the sum of its proper divisors (1203355524).

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

612139164 is a wasteful number, since it uses less digits than its factorization.

612139164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1204 (or 1195 counting only the distinct ones).

The product of its digits is 7776, while the sum is 33.

The square root of 612139164 is about 24741.4462794720. The cubic root of 612139164 is about 849.0828233811.

The spelling of 612139164 in words is "six hundred twelve million, one hundred thirty-nine thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 73 78 84 91 98 146 147 156 182 196 219 273 292 294 364 438 511 546 588 637 876 949 1022 1092 1097 1274 1533 1898 1911 2044 2194 2548 2847 3066 3291 3577 3796 3822 4388 5694 6132 6582 6643 7154 7644 7679 10731 11388 13164 13286 14261 14308 15358 19929 21462 23037 26572 28522 30716 39858 42783 42924 46074 46501 53753 57044 79716 80081 85566 92148 93002 99827 107506 139503 160162 161259 171132 186004 199654 215012 240243 279006 299481 320324 322518 399308 480486 558012 560567 598962 645036 698789 960972 1041053 1121134 1197924 1397578 1681701 2082106 2096367 2242268 2795156 3123159 3363402 3923969 4164212 4192734 6246318 6726804 7287371 7847938 8385468 11771907 12492636 14574742 15695876 21862113 23543814 29149484 43724226 47087628 51011597 87448452 102023194 153034791 204046388 306069582 612139164