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48520296 = 2335112269
BaseRepresentation
bin1011100100010…
…1110001101000
310101022002100000
42321011301220
544410122141
64451543000
71126262406
oct271056150
9111262300
1048520296
1125430020
12142baa60
13a08aa46
146630476
1543d65b6
hex2e45c68

48520296 has 96 divisors (see below), whose sum is σ = 148730400. Its totient is φ = 14696640.

The previous prime is 48520267. The next prime is 48520349. The reversal of 48520296 is 69202584.

It is a happy number.

48520296 is a `hidden beast` number, since 48 + 520 + 2 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 48520296.

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, 20250 + ... + 22518.

It is an arithmetic number, because the mean of its divisors is an integer number (1549275).

Almost surely, 248520296 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 48520296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74365200).

48520296 is an abundant number, since it is smaller than the sum of its proper divisors (100210104).

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

48520296 is a wasteful number, since it uses less digits than its factorization.

48520296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2301 (or 2285 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 48520296 is about 6965.6511540559. The cubic root of 48520296 is about 364.7325143515.

The spelling of 48520296 in words is "forty-eight million, five hundred twenty thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 243 264 297 324 396 486 594 648 792 891 972 1188 1782 1944 2269 2376 2673 3564 4538 5346 6807 7128 9076 10692 13614 18152 20421 21384 24959 27228 40842 49918 54456 61263 74877 81684 99836 122526 149754 163368 183789 199672 224631 245052 299508 367578 449262 490104 551367 599016 673893 735156 898524 1102734 1347786 1470312 1797048 2021679 2205468 2695572 4043358 4410936 5391144 6065037 8086716 12130074 16173432 24260148 48520296