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47691392 = 2771731101
BaseRepresentation
bin1011010111101…
…1011010000000
310022201222021212
42311323122000
544202111032
64422105252
71116240650
oct265733200
9108658255
1047691392
1124a14281
1213b7b228
139b5a678
146496360
1542c0bb2
hex2d7b680

47691392 has 128 divisors (see below), whose sum is σ = 119854080. Its totient is φ = 18432000.

The previous prime is 47691389. The next prime is 47691401. The reversal of 47691392 is 29319674.

47691392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×476913923 (a number of 24 digits) contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 472142 + ... + 472242.

It is an arithmetic number, because the mean of its divisors is an integer number (936360).

Almost surely, 247691392 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 47691392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59927040).

47691392 is an abundant number, since it is smaller than the sum of its proper divisors (72162688).

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

47691392 is a wasteful number, since it uses less digits than its factorization.

47691392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 158 counting only the distinct ones).

The product of its digits is 81648, while the sum is 41.

The square root of 47691392 is about 6905.8954524377. The cubic root of 47691392 is about 362.6435851323.

The spelling of 47691392 in words is "forty-seven million, six hundred ninety-one thousand, three hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 17 28 31 32 34 56 62 64 68 101 112 119 124 128 136 202 217 224 238 248 272 404 434 448 476 496 527 544 707 808 868 896 952 992 1054 1088 1414 1616 1717 1736 1904 1984 2108 2176 2828 3131 3232 3434 3472 3689 3808 3968 4216 5656 6262 6464 6868 6944 7378 7616 8432 11312 12019 12524 12928 13736 13888 14756 15232 16864 21917 22624 24038 25048 27472 27776 29512 33728 43834 45248 48076 50096 53227 54944 59024 67456 87668 90496 96152 100192 106454 109888 118048 175336 192304 200384 212908 219776 236096 350672 372589 384608 400768 425816 472192 701344 745178 769216 851632 1402688 1490356 1538432 1703264 2805376 2980712 3406528 5961424 6813056 11922848 23845696 47691392