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632469264 = 243721914153
BaseRepresentation
bin100101101100101…
…011011100010000
31122002002202201120
4211230223130100
52243403004024
6142432002240
721446620500
oct4554533420
91562082646
10632469264
112a5015579
12157990380
13a105678b
145ddd9a00
153a7d3479
hex25b2b710

632469264 has 120 divisors (see below), whose sum is σ = 2000809440. Its totient is φ = 171182592.

The previous prime is 632469259. The next prime is 632469269. The reversal of 632469264 is 462964236.

It is an interprime number because it is at equal distance from previous prime (632469259) and next prime (632469269).

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 (632469269) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37612 + ... + 51764.

It is an arithmetic number, because the mean of its divisors is an integer number (16673412).

Almost surely, 2632469264 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 632469264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1000404720).

632469264 is an abundant number, since it is smaller than the sum of its proper divisors (1368340176).

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

632469264 is a wasteful number, since it uses less digits than its factorization.

632469264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14197 (or 14184 counting only the distinct ones).

The product of its digits is 373248, while the sum is 42.

The square root of 632469264 is about 25148.9416079484. The cubic root of 632469264 is about 858.3804312695.

The spelling of 632469264 in words is "six hundred thirty-two million, four hundred sixty-nine thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 49 56 57 76 84 98 112 114 133 147 152 168 196 228 266 294 304 336 392 399 456 532 588 784 798 912 931 1064 1176 1596 1862 2128 2352 2793 3192 3724 5586 6384 7448 11172 14153 14896 22344 28306 42459 44688 56612 84918 99071 113224 169836 198142 226448 268907 297213 339672 396284 537814 594426 679344 693497 792568 806721 1075628 1188852 1386994 1585136 1613442 1882349 2080491 2151256 2377704 2773988 3226884 3764698 4160982 4302512 4755408 5547976 5647047 6453768 7529396 8321964 11095952 11294094 12907536 13176443 15058792 16643928 22588188 26352886 30117584 33287856 39529329 45176376 52705772 79058658 90352752 105411544 158117316 210823088 316234632 632469264