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47285964 = 22331153751
BaseRepresentation
bin1011010001100…
…0011011001100
310021222101011000
42310120123030
544101122324
64405300300
71112631645
oct264303314
9107871130
1047285964
1124767710
1213a04690
139a47c7b
1463cc6cc
1542409c9
hex2d186cc

47285964 has 96 divisors (see below), whose sum is σ = 136442880. Its totient is φ = 14040000.

The previous prime is 47285951. The next prime is 47285971. The reversal of 47285964 is 46958274.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62589 + ... + 63339.

It is an arithmetic number, because the mean of its divisors is an integer number (1421280).

Almost surely, 247285964 is an apocalyptic number.

47285964 is a gapful number since it is divisible by the number (44) 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 47285964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68221440).

47285964 is an abundant number, since it is smaller than the sum of its proper divisors (89156916).

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

47285964 is a wasteful number, since it uses less digits than its factorization.

47285964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 820 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 47285964 is about 6876.4790409046. The cubic root of 47285964 is about 361.6130394931.

It can be divided in two parts, 472 and 85964, that added together give a square (86436 = 2942).

The spelling of 47285964 in words is "forty-seven million, two hundred eighty-five thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 53 54 66 99 106 108 132 159 198 212 297 318 396 477 583 594 636 751 954 1166 1188 1431 1502 1749 1908 2253 2332 2862 3004 3498 4506 5247 5724 6759 6996 8261 9012 10494 13518 15741 16522 20277 20988 24783 27036 31482 33044 39803 40554 49566 62964 74349 79606 81108 99132 119409 148698 159212 223047 238818 297396 358227 437833 446094 477636 716454 875666 892188 1074681 1313499 1432908 1751332 2149362 2626998 3940497 4298724 5253996 7880994 11821491 15761988 23642982 47285964