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642899808 = 25331939163
BaseRepresentation
bin100110010100011…
…101111101100000
31122210201200202000
4212110131331200
52304040243213
6143443324000
721634362315
oct4624357540
91583650660
10642899808
112aa99a161
1215b380600
13a32692b5
1461552d0c
153b693c73
hex2651df60

642899808 has 96 divisors (see below), whose sum is σ = 1973865600. Its totient is φ = 203015808.

The previous prime is 642899797. The next prime is 642899819. The reversal of 642899808 is 808998246.

642899808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (642899797) and next prime (642899819).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3166 + ... + 35997.

It is an arithmetic number, because the mean of its divisors is an integer number (20561100).

Almost surely, 2642899808 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 642899808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (986932800).

642899808 is an abundant number, since it is smaller than the sum of its proper divisors (1330965792).

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

642899808 is a wasteful number, since it uses less digits than its factorization.

642899808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39201 (or 39187 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 642899808 is about 25355.4689958597. The cubic root of 642899808 is about 863.0734666390.

The spelling of 642899808 in words is "six hundred forty-two million, eight hundred ninety-nine thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 96 108 114 144 152 171 216 228 288 304 342 432 456 513 608 684 864 912 1026 1368 1824 2052 2736 4104 5472 8208 16416 39163 78326 117489 156652 234978 313304 352467 469956 626608 704934 744097 939912 1057401 1253216 1409868 1488194 1879824 2114802 2232291 2819736 2976388 3759648 4229604 4464582 5639472 5952776 6696873 8459208 8929164 11278944 11905552 13393746 16918416 17858328 20090619 23811104 26787492 33836832 35716656 40181238 53574984 71433312 80362476 107149968 160724952 214299936 321449904 642899808