Search a number
-
+
47398944 = 2531313769
BaseRepresentation
bin1011010011010…
…0000000100000
310022012010010110
42310310000200
544113231234
64411531320
71113612225
oct264640040
9108163113
1047398944
112483458a
1213a59b40
139a87518
14641b94c
1542641e9
hex2d34020

47398944 has 48 divisors (see below), whose sum is σ = 125405280. Its totient is φ = 15674880.

The previous prime is 47398919. The next prime is 47398979. The reversal of 47398944 is 44989374.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 47398893 and 47398902.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10692 + ... + 14460.

It is an arithmetic number, because the mean of its divisors is an integer number (2612610).

Almost surely, 247398944 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 47398944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62702640).

47398944 is an abundant number, since it is smaller than the sum of its proper divisors (78006336).

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

47398944 is a wasteful number, since it uses less digits than its factorization.

47398944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3913 (or 3905 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The square root of 47398944 is about 6884.6890997343. The cubic root of 47398944 is about 361.9008102018.

The spelling of 47398944 in words is "forty-seven million, three hundred ninety-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 131 262 393 524 786 1048 1572 2096 3144 3769 4192 6288 7538 11307 12576 15076 22614 30152 45228 60304 90456 120608 180912 361824 493739 987478 1481217 1974956 2962434 3949912 5924868 7899824 11849736 15799648 23699472 47398944