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47013472 = 2511235807
BaseRepresentation
bin1011001101010…
…1111001100000
310021110112100201
42303111321200
544013412342
64355354544
71110415342
oct263257140
9107415321
1047013472
11245a0a10
12138b2a54
139980c2c
14635b292
1541d9db7
hex2cd5e60

47013472 has 48 divisors (see below), whose sum is σ = 105380352. Its totient is φ = 20437120.

The previous prime is 47013457. The next prime is 47013479. The reversal of 47013472 is 27431074.

47013472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 47013472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47013479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5193 + ... + 10999.

It is an arithmetic number, because the mean of its divisors is an integer number (2195424).

Almost surely, 247013472 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 47013472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52690176).

47013472 is an abundant number, since it is smaller than the sum of its proper divisors (58366880).

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

47013472 is a wasteful number, since it uses less digits than its factorization.

47013472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5851 (or 5843 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

The square root of 47013472 is about 6856.6370765850. The cubic root of 47013472 is about 360.9170856454.

The spelling of 47013472 in words is "forty-seven million, thirteen thousand, four hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 88 92 176 184 253 352 368 506 736 1012 2024 4048 5807 8096 11614 23228 46456 63877 92912 127754 133561 185824 255508 267122 511016 534244 1022032 1068488 1469171 2044064 2136976 2938342 4273952 5876684 11753368 23506736 47013472