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47947488 = 2531997271
BaseRepresentation
bin1011011011100…
…1111011100000
310100012222120220
42312321323200
544233304423
64431403040
71121355411
oct266717340
9110188526
1047947488
1125079726
1214083480
139c1a0c4
146521808
1543219e3
hex2db9ee0

47947488 has 96 divisors (see below), whose sum is σ = 134346240. Its totient is φ = 14929920.

The previous prime is 47947423. The next prime is 47947489. The reversal of 47947488 is 88474974.

It is a tau number, because it is divible by the number of its divisors (96).

Its product of digits (1806336) is a multiple of the sum of its prime divisors (392).

It is a self number, because there is not a number n which added to its sum of digits gives 47947488.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47947489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176793 + ... + 177063.

It is an arithmetic number, because the mean of its divisors is an integer number (1399440).

Almost surely, 247947488 is an apocalyptic number.

47947488 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 47947488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67173120).

47947488 is an abundant number, since it is smaller than the sum of its proper divisors (86398752).

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

47947488 is a wasteful number, since it uses less digits than its factorization.

47947488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 392 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 51.

The square root of 47947488 is about 6924.4124660508. The cubic root of 47947488 is about 363.2915415463.

The spelling of 47947488 in words is "forty-seven million, nine hundred forty-seven thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 97 114 152 194 228 271 291 304 388 456 542 582 608 776 813 912 1084 1164 1552 1626 1824 1843 2168 2328 3104 3252 3686 4336 4656 5149 5529 6504 7372 8672 9312 10298 11058 13008 14744 15447 20596 22116 26016 26287 29488 30894 41192 44232 52574 58976 61788 78861 82384 88464 105148 123576 157722 164768 176928 210296 247152 315444 420592 494304 499453 630888 841184 998906 1261776 1498359 1997812 2523552 2996718 3995624 5993436 7991248 11986872 15982496 23973744 47947488