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638632404 = 223317536563
BaseRepresentation
bin100110000100001…
…100000111010100
31122111200212222000
4212010030013110
52301442214104
6143212035300
721553200024
oct4604140724
91574625860
10638632404
112a8544a83
12159a62b30
13a2403ac7
1460b61a84
153b0ee639
hex2610c1d4

638632404 has 96 divisors (see below), whose sum is σ = 1786458240. Its totient is φ = 196545024.

The previous prime is 638632373. The next prime is 638632411. The reversal of 638632404 is 404236836.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94027 + ... + 100589.

It is an arithmetic number, because the mean of its divisors is an integer number (18608940).

Almost surely, 2638632404 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 638632404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893229120).

638632404 is an abundant number, since it is smaller than the sum of its proper divisors (1147825836).

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

638632404 is a wasteful number, since it uses less digits than its factorization.

638632404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6646 (or 6638 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 638632404 is about 25271.1773370375. The cubic root of 638632404 is about 861.1596057114.

The spelling of 638632404 in words is "six hundred thirty-eight million, six hundred thirty-two thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 53 54 68 102 106 108 153 159 204 212 306 318 459 477 612 636 901 918 954 1431 1802 1836 1908 2703 2862 3604 5406 5724 6563 8109 10812 13126 16218 19689 24327 26252 32436 39378 48654 59067 78756 97308 111571 118134 177201 223142 236268 334713 347839 354402 446284 669426 695678 708804 1004139 1043517 1338852 1391356 2008278 2087034 3012417 3130551 4016556 4174068 5913263 6024834 6261102 9391653 11826526 12049668 12522204 17739789 18783306 23653052 35479578 37566612 53219367 70959156 106438734 159658101 212877468 319316202 638632404