Search a number
-
+
47296816 = 2471732441
BaseRepresentation
bin1011010001101…
…1000100110000
310021222221000221
42310123010300
544101444231
64405422424
71113005410
oct264330460
9107887027
1047296816
1124774886
1213a0aa14
139a4cba8
1463d2640
154243d11
hex2d1b130

47296816 has 40 divisors (see below), whose sum is σ = 105377184. Its totient is φ = 20144640.

The previous prime is 47296811. The next prime is 47296849. The reversal of 47296816 is 61869274.

It is a super-3 number, since 3×472968163 (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (47296811) 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 7 ways as a sum of consecutive naturals, for example, 18156 + ... + 20596.

Almost surely, 247296816 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 47296816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52688592).

47296816 is an abundant number, since it is smaller than the sum of its proper divisors (58080368).

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

47296816 is a wasteful number, since it uses less digits than its factorization.

47296816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2629 (or 2623 counting only the distinct ones).

The product of its digits is 145152, while the sum is 43.

The square root of 47296816 is about 6877.2680622468. The cubic root of 47296816 is about 361.6407004465.

The spelling of 47296816 in words is "forty-seven million, two hundred ninety-six thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 56 112 173 346 692 1211 1384 2422 2441 2768 4844 4882 9688 9764 17087 19376 19528 34174 39056 68348 136696 273392 422293 844586 1689172 2956051 3378344 5912102 6756688 11824204 23648408 47296816