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947422872 = 2333112831409
BaseRepresentation
bin111000011110001…
…000011010011000
32110000202001212000
4320132020122120
53420020012442
6234002321000
732322650544
oct7036103230
92400661760
10947422872
11446882910
12225359160
1312138ba66
148db82a24
1558297d4c
hex38788698

947422872 has 128 divisors (see below), whose sum is σ = 2883168000. Its totient is φ = 285880320.

The previous prime is 947422811. The next prime is 947422919. The reversal of 947422872 is 278224749.

It is a super-2 number, since 2×9474228722 = 1795220196777456768, which contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 671704 + ... + 673112.

It is an arithmetic number, because the mean of its divisors is an integer number (22524750).

Almost surely, 2947422872 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 947422872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441584000).

947422872 is an abundant number, since it is smaller than the sum of its proper divisors (1935745128).

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

947422872 is a wasteful number, since it uses less digits than its factorization.

947422872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1718 (or 1708 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 947422872 is about 30780.2350868215. The cubic root of 947422872 is about 982.1578413478.

The spelling of 947422872 in words is "nine hundred forty-seven million, four hundred twenty-two thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 283 297 396 566 594 792 849 1132 1188 1409 1698 2264 2376 2547 2818 3113 3396 4227 5094 5636 6226 6792 7641 8454 9339 10188 11272 12452 12681 15282 15499 16908 18678 20376 24904 25362 28017 30564 30998 33816 37356 38043 46497 50724 56034 61128 61996 74712 76086 84051 92994 101448 112068 123992 139491 152172 168102 185988 224136 278982 304344 336204 371976 398747 418473 557964 672408 797494 836946 1115928 1196241 1594988 1673892 2392482 3189976 3347784 3588723 4386217 4784964 7177446 8772434 9569928 10766169 13158651 14354892 17544868 21532338 26317302 28709784 35089736 39475953 43064676 52634604 78951906 86129352 105269208 118427859 157903812 236855718 315807624 473711436 947422872