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628157712 = 243713314639
BaseRepresentation
bin100101011100001…
…110110100010000
31121202222201101110
4211130032310100
52241302021322
6142155333320
721365152410
oct4534166420
91552881343
10628157712
112a2640206
12156451240
13a01a7170
145d5d6640
153a230c0c
hex2570ed10

628157712 has 160 divisors (see below), whose sum is σ = 2062090240. Its totient is φ = 160289280.

The previous prime is 628157659. The next prime is 628157753. The reversal of 628157712 is 217751826.

It is a super-2 number, since 2×6281577122 = 789164222290149888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133089 + ... + 137727.

It is an arithmetic number, because the mean of its divisors is an integer number (12888064).

Almost surely, 2628157712 is an apocalyptic number.

628157712 is a gapful number since it is divisible by the number (62) 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 628157712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031045120).

628157712 is an abundant number, since it is smaller than the sum of its proper divisors (1433932528).

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

628157712 is a wasteful number, since it uses less digits than its factorization.

628157712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4701 (or 4695 counting only the distinct ones).

The product of its digits is 47040, while the sum is 39.

The square root of 628157712 is about 25063.0746717158. The cubic root of 628157712 is about 856.4254515914.

The spelling of 628157712 in words is "six hundred twenty-eight million, one hundred fifty-seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 31 39 42 48 52 56 62 78 84 91 93 104 112 124 156 168 182 186 208 217 248 273 312 336 364 372 403 434 496 546 624 651 728 744 806 868 1092 1209 1302 1456 1488 1612 1736 2184 2418 2604 2821 3224 3472 4368 4639 4836 5208 5642 6448 8463 9278 9672 10416 11284 13917 16926 18556 19344 22568 27834 32473 33852 37112 45136 55668 60307 64946 67704 74224 97419 111336 120614 129892 135408 143809 180921 194838 222672 241228 259784 287618 361842 389676 422149 431427 482456 519568 575236 723684 779352 844298 862854 964912 1006663 1150472 1266447 1447368 1558704 1688596 1725708 1869517 2013326 2300944 2532894 2894736 3019989 3377192 3451416 3739034 4026652 5065788 5608551 6039978 6754384 6902832 7478068 8053304 10131576 11217102 12079956 13086619 14956136 16106608 20263152 22434204 24159912 26173238 29912272 39259857 44868408 48319824 52346476 78519714 89736816 104692952 157039428 209385904 314078856 628157712