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47670040 = 23511176373
BaseRepresentation
bin1011010111011…
…0001100011000
310022200220000001
42311312030120
544200420130
64421422344
71116121465
oct265661430
9108626001
1047670040
11249aa230
1213b6a9b4
139b50a32
14648c66c
1542b96ca
hex2d76318

47670040 has 64 divisors (see below), whose sum is σ = 123910560. Its totient is φ = 16312320.

The previous prime is 47670019. The next prime is 47670043. The reversal of 47670040 is 4007674.

47670040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 47669990 and 47670008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47670043) by changing a digit.

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, 4294 + ... + 10666.

Almost surely, 247670040 is an apocalyptic number.

47670040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47670040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61955280).

47670040 is an abundant number, since it is smaller than the sum of its proper divisors (76240520).

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

47670040 is a wasteful number, since it uses less digits than its factorization.

47670040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6412 (or 6408 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

The square root of 47670040 is about 6904.3493538494. The cubic root of 47670040 is about 362.5894571136.

The spelling of 47670040 in words is "forty-seven million, six hundred seventy thousand, forty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 187 220 340 374 440 680 748 935 1496 1870 3740 6373 7480 12746 25492 31865 50984 63730 70103 108341 127460 140206 216682 254920 280412 350515 433364 541705 560824 701030 866728 1083410 1191751 1402060 2166820 2383502 2804120 4333640 4767004 5958755 9534008 11917510 23835020 47670040