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47052144 = 2433108917
BaseRepresentation
bin1011001101111…
…1010101110000
310021112111102000
42303133111300
544021132034
64400254000
71110636156
oct263372560
9107474360
1047052144
1124617a77
1213911300
139995709
14636b3d6
1541e6599
hex2cdf570

47052144 has 40 divisors (see below), whose sum is σ = 135058320. Its totient is φ = 15683904.

The previous prime is 47052143. The next prime is 47052149. The reversal of 47052144 is 44125074.

47052144 is a `hidden beast` number, since 470 + 52 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47052143) 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, 54027 + ... + 54890.

It is an arithmetic number, because the mean of its divisors is an integer number (3376458).

Almost surely, 247052144 is an apocalyptic number.

It is an amenable number.

47052144 is an abundant number, since it is smaller than the sum of its proper divisors (88006176).

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

47052144 is a wasteful number, since it uses less digits than its factorization.

47052144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108934 (or 108922 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 47052144 is about 6859.4565382397. The cubic root of 47052144 is about 361.0160187079.

The spelling of 47052144 in words is "forty-seven million, fifty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 108917 217834 326751 435668 653502 871336 980253 1307004 1742672 1960506 2614008 2940759 3921012 5228016 5881518 7842024 11763036 15684048 23526072 47052144