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4625712 = 2432713353
BaseRepresentation
bin10001101001010100110000
322201000021200
4101221110300
52141010322
6243051200
754214020
oct21512460
98630250
104625712
11267a403
121670b00
13c5c610
14885a80
156158ac
hex469530

4625712 has 120 divisors (see below), whose sum is σ = 15978144. Its totient is φ = 1216512.

The previous prime is 4625707. The next prime is 4625713. The reversal of 4625712 is 2175264.

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 not an unprimeable number, because it can be changed into a prime (4625713) 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, 12928 + ... + 13280.

Almost surely, 24625712 is an apocalyptic number.

4625712 is a gapful number since it is divisible by the number (42) 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 4625712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7989072).

4625712 is an abundant number, since it is smaller than the sum of its proper divisors (11352432).

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

4625712 is a wasteful number, since it uses less digits than its factorization.

4625712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 378 counting only the distinct ones).

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

The square root of 4625712 is about 2150.7468470278. The cubic root of 4625712 is about 166.6196418444.

The spelling of 4625712 in words is "four million, six hundred twenty-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 36 39 42 48 52 56 63 72 78 84 91 104 112 117 126 144 156 168 182 208 234 252 273 312 336 353 364 468 504 546 624 706 728 819 936 1008 1059 1092 1412 1456 1638 1872 2118 2184 2471 2824 3177 3276 4236 4368 4589 4942 5648 6354 6552 7413 8472 9178 9884 12708 13104 13767 14826 16944 18356 19768 22239 25416 27534 29652 32123 36712 39536 41301 44478 50832 55068 59304 64246 73424 82602 88956 96369 110136 118608 128492 165204 177912 192738 220272 256984 289107 330408 355824 385476 513968 578214 660816 770952 1156428 1541904 2312856 4625712