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629909604 = 2232472892
BaseRepresentation
bin100101100010111…
…010100001100100
31121220021201112100
4211202322201210
52242224101404
6142301052100
721416100102
oct4542724144
91556251470
10629909604
112a3627455
12156b57030
13a066b69c
145d930c72
153a479d39
hex258ba864

629909604 has 81 divisors (see below), whose sum is σ = 1645355257. Its totient is φ = 203193408.

The previous prime is 629909597. The next prime is 629909617. The reversal of 629909604 is 406909926.

The square root of 629909604 is 25098.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 120956004 + 508953600 = 10998^2 + 22560^2 .

It is a super-2 number, since 2×6299096042 = 793572218422873632, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 629909604.

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 26 ways as a sum of consecutive naturals, for example, 7077592 + ... + 7077680.

Almost surely, 2629909604 is an apocalyptic number.

629909604 is the 25098-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 629909604

629909604 is an abundant number, since it is smaller than the sum of its proper divisors (1015445653).

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

629909604 is a wasteful number, since it uses less digits than its factorization.

629909604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The cubic root of 629909604 is about 857.2208846587.

The spelling of 629909604 in words is "six hundred twenty-nine million, nine hundred nine thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 47 89 94 141 178 188 267 282 356 423 534 564 801 846 1068 1602 1692 2209 3204 4183 4418 6627 7921 8366 8836 12549 13254 15842 16732 19881 23763 25098 26508 31684 37647 39762 47526 50196 71289 75294 79524 95052 142578 150588 196601 285156 372287 393202 589803 744574 786404 1116861 1179606 1489148 1769409 2233722 2359212 3350583 3538818 4467444 6701166 7077636 13402332 17497489 34994978 52492467 69989956 104984934 157477401 209969868 314954802 629909604