Search a number
-
+
47296732 = 22743163241
BaseRepresentation
bin1011010001101…
…1000011011100
310021222220220211
42310123003130
544101443412
64405422204
71113005230
oct264330334
9107886824
1047296732
112477480a
1213a0a964
139a4cb42
1463d25c0
154243ca7
hex2d1b0dc

47296732 has 48 divisors (see below), whose sum is σ = 97791232. Its totient is φ = 19595520.

The previous prime is 47296729. The next prime is 47296751. The reversal of 47296732 is 23769274.

47296732 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 196132 + ... + 196372.

Almost surely, 247296732 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 47296732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48895616).

47296732 is an abundant number, since it is smaller than the sum of its proper divisors (50494500).

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

47296732 is a wasteful number, since it uses less digits than its factorization.

47296732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 456 counting only the distinct ones).

The product of its digits is 127008, while the sum is 40.

The square root of 47296732 is about 6877.2619551679. The cubic root of 47296732 is about 361.6404863529.

The spelling of 47296732 in words is "forty-seven million, two hundred ninety-six thousand, seven hundred thirty-two".

Divisors: 1 2 4 7 14 28 43 86 163 172 241 301 326 482 602 652 964 1141 1204 1687 2282 3374 4564 6748 7009 10363 14018 20726 28036 39283 41452 49063 72541 78566 98126 145082 157132 196252 274981 290164 549962 1099924 1689169 3378338 6756676 11824183 23648366 47296732