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47890752 = 2637132741
BaseRepresentation
bin1011011010110…
…0000101000000
310100010002202120
42312230011000
544230001002
64430244240
71121031120
oct266540500
9110102676
1047890752
1125040038
1214056680
139bca330
146508c80
15430ecbc
hex2dac140

47890752 has 112 divisors (see below), whose sum is σ = 156008832. Its totient is φ = 12625920.

The previous prime is 47890727. The next prime is 47890763. The reversal of 47890752 is 25709874.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16102 + ... + 18842.

It is an arithmetic number, because the mean of its divisors is an integer number (1392936).

Almost surely, 247890752 is an apocalyptic number.

47890752 is a gapful number since it is divisible by the number (42) 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 47890752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78004416).

47890752 is an abundant number, since it is smaller than the sum of its proper divisors (108118080).

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

47890752 is a wasteful number, since it uses less digits than its factorization.

47890752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2776 (or 2766 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 47890752 is about 6920.3144437229. The cubic root of 47890752 is about 363.1481913590.

The spelling of 47890752 in words is "forty-seven million, eight hundred ninety thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 156 168 182 192 208 224 273 312 336 364 416 448 546 624 672 728 832 1092 1248 1344 1456 2184 2496 2741 2912 4368 5482 5824 8223 8736 10964 16446 17472 19187 21928 32892 35633 38374 43856 57561 65784 71266 76748 87712 106899 115122 131568 142532 153496 175424 213798 230244 249431 263136 285064 306992 427596 460488 498862 526272 570128 613984 748293 855192 920976 997724 1140256 1227968 1496586 1710384 1841952 1995448 2280512 2993172 3420768 3683904 3990896 5986344 6841536 7981792 11972688 15963584 23945376 47890752