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47386920 = 2335728059
BaseRepresentation
bin1011010011000…
…1000100101000
310022011111122010
42310301010220
544112340140
64411355520
71113532200
oct264610450
9108144563
1047386920
1124826549
1213a52ba0
139a81bc9
146417400
154260880
hex2d31128

47386920 has 96 divisors (see below), whose sum is σ = 165391200. Its totient is φ = 10829952.

The previous prime is 47386919. The next prime is 47386921. The reversal of 47386920 is 2968374.

It is an interprime number because it is at equal distance from previous prime (47386919) and next prime (47386921).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (47386921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1851 + ... + 9909.

It is an arithmetic number, because the mean of its divisors is an integer number (1722825).

Almost surely, 247386920 is an apocalyptic number.

47386920 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 47386920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82695600).

47386920 is an abundant number, since it is smaller than the sum of its proper divisors (118004280).

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

47386920 is a wasteful number, since it uses less digits than its factorization.

47386920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8087 (or 8076 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 47386920 is about 6883.8158023003. The cubic root of 47386920 is about 361.8702056989.

The spelling of 47386920 in words is "forty-seven million, three hundred eighty-six thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 392 420 490 588 735 840 980 1176 1470 1960 2940 5880 8059 16118 24177 32236 40295 48354 56413 64472 80590 96708 112826 120885 161180 169239 193416 225652 241770 282065 322360 338478 394891 451304 483540 564130 676956 789782 846195 967080 1128260 1184673 1353912 1579564 1692390 1974455 2256520 2369346 3159128 3384780 3948910 4738692 5923365 6769560 7897820 9477384 11846730 15795640 23693460 47386920