Search a number
-
+
47008896 = 2731131359
BaseRepresentation
bin1011001101010…
…0110010000000
310021110022002020
42303110302000
544013241041
64355321440
71110366114
oct263246200
9107408066
1047008896
1124598530
12138b0280
13997bb1c
146359744
1541d8866
hex2cd4c80

47008896 has 128 divisors (see below), whose sum is σ = 141004800. Its totient is φ = 13747200.

The previous prime is 47008879. The next prime is 47008991. The reversal of 47008896 is 69880074.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130765 + ... + 131123.

It is an arithmetic number, because the mean of its divisors is an integer number (1101600).

Almost surely, 247008896 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 47008896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70502400).

47008896 is an abundant number, since it is smaller than the sum of its proper divisors (93995904).

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

47008896 is a wasteful number, since it uses less digits than its factorization.

47008896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 47008896 is about 6856.3033771851. The cubic root of 47008896 is about 360.9053754547.

The spelling of 47008896 in words is "forty-seven million, eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 64 66 88 93 96 124 128 132 176 186 192 248 264 341 352 359 372 384 496 528 682 704 718 744 992 1023 1056 1077 1364 1408 1436 1488 1984 2046 2112 2154 2728 2872 2976 3949 3968 4092 4224 4308 5456 5744 5952 7898 8184 8616 10912 11129 11488 11847 11904 15796 16368 17232 21824 22258 22976 23694 31592 32736 33387 34464 43648 44516 45952 47388 63184 65472 66774 68928 89032 94776 122419 126368 130944 133548 137856 178064 189552 244838 252736 267096 356128 367257 379104 489676 505472 534192 712256 734514 758208 979352 1068384 1424512 1469028 1516416 1958704 2136768 2938056 3917408 4273536 5876112 7834816 11752224 15669632 23504448 47008896