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47133888 = 263317919
BaseRepresentation
bin1011001111001…
…1010011000000
310021200122112120
42303303103000
544031241023
64402124240
71111426404
oct263632300
9107618476
1047133888
112467342a
1213950680
1399c3999
14638d104
1542108e3
hex2cf34c0

47133888 has 56 divisors (see below), whose sum is σ = 128747520. Its totient is φ = 15202560.

The previous prime is 47133883. The next prime is 47133901. The reversal of 47133888 is 88833174.

It is not an unprimeable number, because it can be changed into a prime (47133883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1993 + ... + 9911.

Almost surely, 247133888 is an apocalyptic number.

47133888 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 47133888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64373760).

47133888 is an abundant number, since it is smaller than the sum of its proper divisors (81613632).

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

47133888 is a wasteful number, since it uses less digits than its factorization.

47133888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7965 (or 7955 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 47133888 is about 6865.4124420897. The cubic root of 47133888 is about 361.2249629244.

The spelling of 47133888 in words is "forty-seven million, one hundred thirty-three thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 496 744 992 1488 1984 2976 5952 7919 15838 23757 31676 47514 63352 95028 126704 190056 245489 253408 380112 490978 506816 736467 760224 981956 1472934 1520448 1963912 2945868 3927824 5891736 7855648 11783472 15711296 23566944 47133888