Search a number
-
+
47900688 = 24311257353
BaseRepresentation
bin1011011010111…
…0100000010000
310100010121101120
42312232200100
544230310223
64430402240
71121102103
oct266564020
9110117346
1047900688
1125047550
1214060380
139c01a04
14650c73a
154312be3
hex2dae810

47900688 has 80 divisors (see below), whose sum is σ = 135902016. Its totient is φ = 14417920.

The previous prime is 47900641. The next prime is 47900707. The reversal of 47900688 is 88600974.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 135520 + ... + 135872.

Almost surely, 247900688 is an apocalyptic number.

47900688 is a gapful number since it is divisible by the number (48) 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 47900688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67951008).

47900688 is an abundant number, since it is smaller than the sum of its proper divisors (88001328).

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

47900688 is a wasteful number, since it uses less digits than its factorization.

47900688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 47900688 is about 6921.0322929459. The cubic root of 47900688 is about 363.1733040079.

The spelling of 47900688 in words is "forty-seven million, nine hundred thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 257 264 353 514 528 706 771 1028 1059 1412 1542 2056 2118 2824 2827 3084 3883 4112 4236 5648 5654 6168 7766 8472 8481 11308 11649 12336 15532 16944 16962 22616 23298 31064 33924 45232 46596 62128 67848 90721 93192 135696 181442 186384 272163 362884 544326 725768 997931 1088652 1451536 1995862 2177304 2993793 3991724 4354608 5987586 7983448 11975172 15966896 23950344 47900688