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47430496 = 2531137349
BaseRepresentation
bin1011010011101…
…1101101100000
310022020201102001
42310323231200
544120233441
64412333344
71114103221
oct264735540
9108221361
1047430496
1124856263
1213a74254
139a989a9
146429248
15426d731
hex2d3bb60

47430496 has 48 divisors (see below), whose sum is σ = 97372800. Its totient is φ = 22717440.

The previous prime is 47430469. The next prime is 47430497. The reversal of 47430496 is 69403474.

47430496 is nontrivially palindromic in base 13.

47430496 is an esthetic number in base 13, because in such base its adjacent digits differ by 1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47430497) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 135730 + ... + 136078.

It is an arithmetic number, because the mean of its divisors is an integer number (2028600).

Almost surely, 247430496 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 47430496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48686400).

47430496 is an abundant number, since it is smaller than the sum of its proper divisors (49942304).

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

47430496 is a wasteful number, since it uses less digits than its factorization.

47430496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 37.

The square root of 47430496 is about 6886.9801800208. The cubic root of 47430496 is about 361.9810944208.

The spelling of 47430496 in words is "forty-seven million, four hundred thirty thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 31 32 62 124 137 248 274 349 496 548 698 992 1096 1396 2192 2792 4247 4384 5584 8494 10819 11168 16988 21638 33976 43276 47813 67952 86552 95626 135904 173104 191252 346208 382504 765008 1482203 1530016 2964406 5928812 11857624 23715248 47430496