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472114656 = 25341314011
BaseRepresentation
bin11100001000111…
…110010111100000
31012220100220120000
4130020332113200
51431330132111
6114503020000
714461623366
oct3410762740
91186326500
10472114656
11222550802
1211213a600
1376a707b0
14469b7636
152b6aac56
hex1c23e5e0

472114656 has 120 divisors (see below), whose sum is σ = 1495388664. Its totient is φ = 145255680.

The previous prime is 472114649. The next prime is 472114691. The reversal of 472114656 is 656411274.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 472114656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 26691 + ... + 40701.

Almost surely, 2472114656 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 472114656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747694332).

472114656 is an abundant number, since it is smaller than the sum of its proper divisors (1023274008).

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

472114656 is a wasteful number, since it uses less digits than its factorization.

472114656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14046 (or 14029 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 472114656 is about 21728.1995572574. The cubic root of 472114656 is about 778.6623226181.

The spelling of 472114656 in words is "four hundred seventy-two million, one hundred fourteen thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 144 156 162 208 216 234 288 312 324 351 416 432 468 624 648 702 864 936 1053 1248 1296 1404 1872 2106 2592 2808 3744 4212 5616 8424 11232 14011 16848 28022 33696 42033 56044 84066 112088 126099 168132 182143 224176 252198 336264 364286 378297 448352 504396 546429 672528 728572 756594 1008792 1092858 1134891 1345056 1457144 1513188 1639287 2017584 2185716 2269782 2914288 3026376 3278574 4035168 4371432 4539564 4917861 5828576 6052752 6557148 8742864 9079128 9835722 12105504 13114296 14753583 17485728 18158256 19671444 26228592 29507166 36316512 39342888 52457184 59014332 78685776 118028664 157371552 236057328 472114656