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47528704 = 283153113
BaseRepresentation
bin1011010101001…
…1101100000000
310022102201010101
42311103230000
544131404304
64414412144
71114662436
oct265235400
9108381111
1047528704
1124913023
1213b01054
139b015c2
146452d56
15428c8a4
hex2d53b00

47528704 has 72 divisors (see below), whose sum is σ = 100662912. Its totient is φ = 22364160.

The previous prime is 47528669. The next prime is 47528713. The reversal of 47528704 is 40782574.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 420552 + ... + 420664.

It is an arithmetic number, because the mean of its divisors is an integer number (1398096).

Almost surely, 247528704 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 47528704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50331456).

47528704 is an abundant number, since it is smaller than the sum of its proper divisors (53134208).

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

47528704 is a wasteful number, since it uses less digits than its factorization.

47528704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 37.

The square root of 47528704 is about 6894.1064685715. The cubic root of 47528704 is about 362.2307575045.

It can be divided in two parts, 4752 and 8704, that added together give a square (13456 = 1162).

The spelling of 47528704 in words is "forty-seven million, five hundred twenty-eight thousand, seven hundred four".

Divisors: 1 2 4 8 16 31 32 53 62 64 106 113 124 128 212 226 248 256 424 452 496 848 904 992 1643 1696 1808 1984 3286 3392 3503 3616 3968 5989 6572 6784 7006 7232 7936 11978 13144 13568 14012 14464 23956 26288 28024 28928 47912 52576 56048 95824 105152 112096 185659 191648 210304 224192 371318 383296 420608 448384 742636 766592 896768 1485272 1533184 2970544 5941088 11882176 23764352 47528704