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47259990 = 23351131549
BaseRepresentation
bin1011010001001…
…0000101010110
310021221001112000
42310102011112
544044304430
64404540130
71112463141
oct264220526
9107831460
1047259990
112474a148
12139b1646
139a391bb
1463c3058
154237e60
hex2d12156

47259990 has 64 divisors (see below), whose sum is σ = 127224000. Its totient is φ = 12483072.

The previous prime is 47259977. The next prime is 47259997. The reversal of 47259990 is 9995274.

47259990 is a `hidden beast` number, since 472 + 5 + 99 + 90 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47259997) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 29736 + ... + 31284.

It is an arithmetic number, because the mean of its divisors is an integer number (1987875).

Almost surely, 247259990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47259990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63612000).

47259990 is an abundant number, since it is smaller than the sum of its proper divisors (79964010).

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

47259990 is a wasteful number, since it uses less digits than its factorization.

47259990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 47259990 is about 6874.5901696028. The cubic root of 47259990 is about 361.5468164777.

The spelling of 47259990 in words is "forty-seven million, two hundred fifty-nine thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 113 135 226 270 339 565 678 1017 1130 1549 1695 2034 3051 3098 3390 4647 5085 6102 7745 9294 10170 13941 15255 15490 23235 27882 30510 41823 46470 69705 83646 139410 175037 209115 350074 418230 525111 875185 1050222 1575333 1750370 2625555 3150666 4725999 5251110 7876665 9451998 15753330 23629995 47259990