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47423240 = 23519232713
BaseRepresentation
bin1011010011100…
…1111100001000
310022020100110022
42310321330020
544120020430
64412240012
71114043114
oct264717410
9108210408
1047423240
1124850867
1213a70008
139a955b7
146426744
15426b4e5
hex2d39f08

47423240 has 64 divisors (see below), whose sum is σ = 117244800. Its totient is φ = 17183232.

The previous prime is 47423239. The next prime is 47423249. The reversal of 47423240 is 4232474.

47423240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (47423249) 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 15 ways as a sum of consecutive naturals, for example, 16124 + ... + 18836.

It is an arithmetic number, because the mean of its divisors is an integer number (1831950).

Almost surely, 247423240 is an apocalyptic number.

47423240 is a gapful number since it is divisible by the number (40) 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 47423240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58622400).

47423240 is an abundant number, since it is smaller than the sum of its proper divisors (69821560).

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

47423240 is a wasteful number, since it uses less digits than its factorization.

47423240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2766 (or 2762 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 26.

The square root of 47423240 is about 6886.4533687523. The cubic root of 47423240 is about 361.9626346464.

The spelling of 47423240 in words is "forty-seven million, four hundred twenty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 19 20 23 38 40 46 76 92 95 115 152 184 190 230 380 437 460 760 874 920 1748 2185 2713 3496 4370 5426 8740 10852 13565 17480 21704 27130 51547 54260 62399 103094 108520 124798 206188 249596 257735 311995 412376 499192 515470 623990 1030940 1185581 1247980 2061880 2371162 2495960 4742324 5927905 9484648 11855810 23711620 47423240