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47061072 = 2432714603
BaseRepresentation
bin1011001110000…
…1100001010000
310021112221122200
42303201201100
544021423242
64400403200
71111004202
oct263414120
9107487580
1047061072
1124623753
1213916500
1399997b6
146370772
1541e904c
hex2ce1850

47061072 has 60 divisors (see below), whose sum is σ = 133589664. Its totient is φ = 15462720.

The previous prime is 47061067. The next prime is 47061089. The reversal of 47061072 is 27016074.

47061072 is a `hidden beast` number, since 47 + 0 + 610 + 7 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7923 + ... + 12525.

Almost surely, 247061072 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 47061072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66794832).

47061072 is an abundant number, since it is smaller than the sum of its proper divisors (86528592).

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

47061072 is a wasteful number, since it uses less digits than its factorization.

47061072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4688 (or 4679 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 47061072 is about 6860.1072877908. The cubic root of 47061072 is about 361.0388511579.

It can be divided in two parts, 4706 and 1072, that added together give a triangular number (5778 = T107).

The spelling of 47061072 in words is "forty-seven million, sixty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 71 72 142 144 213 284 426 568 639 852 1136 1278 1704 2556 3408 4603 5112 9206 10224 13809 18412 27618 36824 41427 55236 73648 82854 110472 165708 220944 326813 331416 653626 662832 980439 1307252 1960878 2614504 2941317 3921756 5229008 5882634 7843512 11765268 15687024 23530536 47061072