Search a number
-
+
48914008 = 2311213323
BaseRepresentation
bin1011101010010…
…1111001011000
310102001002101221
42322211321120
5100010222013
64504221424
71132522303
oct272457130
9112032357
1048914008
1125679900
121446a874
13a198000
1466d3b3a
15446308d
hex2ea5e58

48914008 has 96 divisors (see below), whose sum is σ = 113954400. Its totient is φ = 19631040.

The previous prime is 48913993. The next prime is 48914017. The reversal of 48914008 is 80041984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2126685 + ... + 2126707.

It is an arithmetic number, because the mean of its divisors is an integer number (1187025).

Almost surely, 248914008 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 48914008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56977200).

48914008 is an abundant number, since it is smaller than the sum of its proper divisors (65040392).

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

48914008 is a wasteful number, since it uses less digits than its factorization.

48914008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 48914008 is about 6993.8550170846. The cubic root of 48914008 is about 365.7163837421.

The spelling of 48914008 in words is "forty-eight million, nine hundred fourteen thousand, eight".

Divisors: 1 2 4 8 11 13 22 23 26 44 46 52 88 92 104 121 143 169 184 242 253 286 299 338 484 506 572 598 676 968 1012 1144 1196 1352 1573 1859 2024 2197 2392 2783 3146 3289 3718 3887 4394 5566 6292 6578 7436 7774 8788 11132 12584 13156 14872 15548 17576 20449 22264 24167 26312 31096 36179 40898 42757 48334 50531 72358 81796 85514 96668 101062 144716 163592 171028 193336 202124 265837 289432 342056 404248 470327 531674 555841 940654 1063348 1111682 1881308 2126696 2223364 3762616 4446728 6114251 12228502 24457004 48914008