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47040264 = 2334229317
BaseRepresentation
bin1011001101110…
…0011100001000
310021111220010000
42303130130020
544020242024
64400123000
71110556425
oct263343410
9107456100
1047040264
112460a057
1213906460
13999019b
146366d4c
1541e2cc9
hex2cdc708

47040264 has 80 divisors (see below), whose sum is σ = 132749100. Its totient is φ = 15562368.

The previous prime is 47040239. The next prime is 47040281. The reversal of 47040264 is 46204074.

It can be written as a sum of positive squares in 2 ways, for example, as 47032164 + 8100 = 6858^2 + 90^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 148234 + ... + 148550.

Almost surely, 247040264 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 47040264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66374550).

47040264 is an abundant number, since it is smaller than the sum of its proper divisors (85708836).

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

47040264 is a wasteful number, since it uses less digits than its factorization.

47040264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 47040264 is about 6858.5905257567. The cubic root of 47040264 is about 360.9856323397.

The spelling of 47040264 in words is "forty-seven million, forty thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 229 317 324 458 634 648 687 916 951 1268 1374 1832 1902 2061 2536 2748 2853 3804 4122 5496 5706 6183 7608 8244 8559 11412 12366 16488 17118 18549 22824 24732 25677 34236 37098 49464 51354 68472 72593 74196 102708 145186 148392 205416 217779 290372 435558 580744 653337 871116 1306674 1742232 1960011 2613348 3920022 5226696 5880033 7840044 11760066 15680088 23520132 47040264