Search a number
-
+
48434368 = 2653109131
BaseRepresentation
bin1011100011000…
…0110011000000
310101010201110111
42320300303000
544344344433
64450041104
71125454033
oct270606300
9111121414
1048434368
1125381504
1214279194
13a05a8b8
14660b01a
1543badcd
hex2e30cc0

48434368 has 56 divisors (see below), whose sum is σ = 99578160. Its totient is φ = 23362560.

The previous prime is 48434359. The next prime is 48434459. The reversal of 48434368 is 86343484.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 48434368.

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, 369663 + ... + 369793.

Almost surely, 248434368 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 48434368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49789080).

48434368 is an abundant number, since it is smaller than the sum of its proper divisors (51143792).

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

48434368 is a wasteful number, since it uses less digits than its factorization.

48434368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 295 counting only the distinct ones).

The product of its digits is 221184, while the sum is 40.

The square root of 48434368 is about 6959.4804403777. The cubic root of 48434368 is about 364.5170769815.

The spelling of 48434368 in words is "forty-eight million, four hundred thirty-four thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 32 53 64 106 109 131 212 218 262 424 436 524 848 872 1048 1696 1744 2096 3392 3488 4192 5777 6943 6976 8384 11554 13886 14279 23108 27772 28558 46216 55544 57116 92432 111088 114232 184864 222176 228464 369728 444352 456928 756787 913856 1513574 3027148 6054296 12108592 24217184 48434368