Search a number
-
+
629696496 = 2431113199461
BaseRepresentation
bin100101100010000…
…110011111110000
31121212212220012110
4211202012133300
52242200241441
6142252325320
721414221562
oct4542063760
91555786173
10629696496
112a34a1330
12156a73840
13a05c56a0
145d8b7332
153a436b16
hex258867f0

629696496 has 160 divisors (see below), whose sum is σ = 1924876800. Its totient is φ = 174873600.

The previous prime is 629696477. The next prime is 629696527. The reversal of 629696496 is 694696926.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1365706 + ... + 1366166.

It is an arithmetic number, because the mean of its divisors is an integer number (12030480).

Almost surely, 2629696496 is an apocalyptic number.

629696496 is a gapful number since it is divisible by the number (66) 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 629696496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (962438400).

629696496 is an abundant number, since it is smaller than the sum of its proper divisors (1295180304).

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

629696496 is a wasteful number, since it uses less digits than its factorization.

629696496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 689 counting only the distinct ones).

The product of its digits is 7558272, while the sum is 57.

The square root of 629696496 is about 25093.7541232873. The cubic root of 629696496 is about 857.1242034671.

The spelling of 629696496 in words is "six hundred twenty-nine million, six hundred ninety-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 199 208 264 286 312 398 429 461 528 572 597 624 796 858 922 1144 1194 1383 1592 1716 1844 2189 2288 2388 2587 2766 3184 3432 3688 4378 4776 5071 5174 5532 5993 6567 6864 7376 7761 8756 9552 10142 10348 11064 11986 13134 15213 15522 17512 17979 20284 20696 22128 23972 26268 28457 30426 31044 35024 35958 40568 41392 47944 52536 56914 60852 62088 65923 71916 81136 85371 91739 95888 105072 113828 121704 124176 131846 143832 170742 183478 197769 227656 243408 263692 275217 287664 341484 366956 395538 455312 527384 550434 682968 733912 791076 1009129 1054768 1100868 1192607 1365936 1467824 1582152 2018258 2201736 2385214 3027387 3164304 3577821 4036516 4403472 4770428 6054774 7155642 8073032 9540856 12109548 13118677 14311284 16146064 19081712 24219096 26237354 28622568 39356031 48438192 52474708 57245136 78712062 104949416 157424124 209898832 314848248 629696496