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639005952 = 28313292207
BaseRepresentation
bin100110000101100…
…111010100000000
31122112101212101010
4212011213110000
52302041142302
6143224040520
721556314054
oct4605472400
91575355333
10639005952
112a877a6a2
1215a003140
13a2504b40
1460c1bc64
153b17516c
hex26167500

639005952 has 144 divisors (see below), whose sum is σ = 1895523840. Its totient is φ = 189751296.

The previous prime is 639005903. The next prime is 639005953. The reversal of 639005952 is 259500936.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 639005952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (639005953) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 288433 + ... + 290639.

It is an arithmetic number, because the mean of its divisors is an integer number (13163360).

Almost surely, 2639005952 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 639005952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947761920).

639005952 is an abundant number, since it is smaller than the sum of its proper divisors (1256517888).

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

639005952 is a wasteful number, since it uses less digits than its factorization.

639005952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2268 (or 2254 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 39.

The square root of 639005952 is about 25278.5670479954. The cubic root of 639005952 is about 861.3274757552.

The spelling of 639005952 in words is "six hundred thirty-nine million, five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 32 39 48 52 58 64 78 87 96 104 116 128 156 174 192 208 232 256 312 348 377 384 416 464 624 696 754 768 832 928 1131 1248 1392 1508 1664 1856 2207 2262 2496 2784 3016 3328 3712 4414 4524 4992 5568 6032 6621 7424 8828 9048 9984 11136 12064 13242 17656 18096 22272 24128 26484 28691 35312 36192 48256 52968 57382 64003 70624 72384 86073 96512 105936 114764 128006 141248 144768 172146 192009 211872 229528 256012 282496 289536 344292 384018 423744 459056 512024 564992 688584 768036 832039 847488 918112 1024048 1377168 1536072 1664078 1694976 1836224 2048096 2496117 2754336 3072144 3328156 3672448 4096192 4992234 5508672 6144288 6656312 7344896 8192384 9984468 11017344 12288576 13312624 16384768 19968936 22034688 24577152 26625248 39937872 49154304 53250496 79875744 106500992 159751488 213001984 319502976 639005952