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47065728 = 27323732
BaseRepresentation
bin1011001110001…
…0101010000000
310021120012001010
42303202222000
544022100403
64400440520
71111023603
oct263425200
9107505033
1047065728
11246271a6
1213919140
13999b958
14637233a
1541ea603
hex2ce2a80

47065728 has 96 divisors (see below), whose sum is σ = 132265440. Its totient is φ = 14800896.

The previous prime is 47065699. The next prime is 47065729. The reversal of 47065728 is 82756074.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47065729) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 644700 + ... + 644772.

It is an arithmetic number, because the mean of its divisors is an integer number (1377765).

Almost surely, 247065728 is an apocalyptic number.

47065728 is a gapful number since it is divisible by the number (48) 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 47065728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66132720).

47065728 is an abundant number, since it is smaller than the sum of its proper divisors (85199712).

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

47065728 is an equidigital number, since it uses as much as digits as its factorization.

47065728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 47065728 is about 6860.4466326909. The cubic root of 47065728 is about 361.0507572577.

The spelling of 47065728 in words is "forty-seven million, sixty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 73 92 96 128 138 146 184 192 219 276 292 368 384 438 552 584 736 876 1104 1168 1472 1679 1752 2208 2336 2944 3358 3504 4416 4672 5037 5329 6716 7008 8832 9344 10074 10658 13432 14016 15987 20148 21316 26864 28032 31974 40296 42632 53728 63948 80592 85264 107456 122567 127896 161184 170528 214912 245134 255792 322368 341056 367701 490268 511584 644736 682112 735402 980536 1023168 1470804 1961072 2046336 2941608 3922144 5883216 7844288 11766432 15688576 23532864 47065728