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47905088 = 267119721
BaseRepresentation
bin1011011010111…
…1100101000000
310100010211102112
42312233211000
544230430323
64430434452
71121120660
oct266574500
9110124375
1047905088
112504a890
1214062a28
139c03a0a
1465101a0
154314178
hex2daf940

47905088 has 56 divisors (see below), whose sum is σ = 118530624. Its totient is φ = 18662400.

The previous prime is 47905087. The next prime is 47905093. The reversal of 47905088 is 88050974.

47905088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47905087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68 + ... + 9788.

Almost surely, 247905088 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 47905088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59265312).

47905088 is an abundant number, since it is smaller than the sum of its proper divisors (70625536).

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

47905088 is a wasteful number, since it uses less digits than its factorization.

47905088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9751 (or 9741 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 41.

The square root of 47905088 is about 6921.3501573031. The cubic root of 47905088 is about 363.1844236368.

The spelling of 47905088 in words is "forty-seven million, nine hundred five thousand, eighty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 308 352 448 616 704 1232 2464 4928 9721 19442 38884 68047 77768 106931 136094 155536 213862 272188 311072 427724 544376 622144 748517 855448 1088752 1497034 1710896 2177504 2994068 3421792 4355008 5988136 6843584 11976272 23952544 47905088