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629445264 = 243717263419
BaseRepresentation
bin100101100001001…
…001001010010000
31121212102010120120
4211201021022100
52242114222024
6142243110240
721412124250
oct4541111220
91555363516
10629445264
112a333a5a8
12156972380
13a0538226
145d84d960
153a3d7479
hex25849290

629445264 has 160 divisors (see below), whose sum is σ = 1979873280. Its totient is φ = 168216576.

The previous prime is 629445263. The next prime is 629445293. The reversal of 629445264 is 462544926.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (629445263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1502047 + ... + 1502465.

It is an arithmetic number, because the mean of its divisors is an integer number (12374208).

Almost surely, 2629445264 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 629445264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989936640).

629445264 is an abundant number, since it is smaller than the sum of its proper divisors (1350428016).

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

629445264 is a wasteful number, since it uses less digits than its factorization.

629445264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 711 counting only the distinct ones).

The product of its digits is 414720, while the sum is 42.

The square root of 629445264 is about 25088.7477567136. The cubic root of 629445264 is about 857.0101984538.

The spelling of 629445264 in words is "six hundred twenty-nine million, four hundred forty-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 168 204 238 263 272 336 357 408 419 476 526 714 789 816 838 952 1052 1257 1428 1578 1676 1841 1904 2104 2514 2856 2933 3156 3352 3682 4208 4471 5028 5523 5712 5866 6312 6704 7123 7364 8799 8942 10056 11046 11732 12624 13413 14246 14728 17598 17884 20112 21369 22092 23464 26826 28492 29456 31297 35196 35768 42738 44184 46928 49861 53652 56984 62594 70392 71536 85476 88368 93891 99722 107304 110197 113968 125188 140784 149583 170952 187782 199444 214608 220394 250376 299166 330591 341904 375564 398888 440788 500752 598332 661182 751128 771379 797776 881576 1196664 1322364 1502256 1542758 1763152 1873349 2314137 2393328 2644728 3085516 3746698 4628274 5289456 5620047 6171032 7493396 9256548 11240094 12342064 13113443 14986792 18513096 22480188 26226886 29973584 37026192 39340329 44960376 52453772 78680658 89920752 104907544 157361316 209815088 314722632 629445264