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48786496 = 2611232131
BaseRepresentation
bin1011101000011…
…0110001000000
310101210121111021
42322012301000
544442131441
64501355224
71131451453
oct272066100
9111717437
1048786496
11255a2020
1214408b14
13a151c65
14669d49a
15443a3d1
hex2e86c40

48786496 has 84 divisors (see below), whose sum is σ = 111245904. Its totient is φ = 21049600.

The previous prime is 48786469. The next prime is 48786499. The reversal of 48786496 is 69468784.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (48786499) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 372351 + ... + 372481.

It is an arithmetic number, because the mean of its divisors is an integer number (1324356).

Almost surely, 248786496 is an apocalyptic number.

48786496 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48786496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55622952).

48786496 is an abundant number, since it is smaller than the sum of its proper divisors (62459408).

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

48786496 is a wasteful number, since it uses less digits than its factorization.

48786496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 167 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 52.

The square root of 48786496 is about 6984.7330657656. The cubic root of 48786496 is about 365.3983166531.

The spelling of 48786496 in words is "forty-eight million, seven hundred eighty-six thousand, four hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 131 176 184 253 262 352 368 506 524 529 704 736 1012 1048 1058 1441 1472 2024 2096 2116 2882 3013 4048 4192 4232 5764 5819 6026 8096 8384 8464 11528 11638 12052 16192 16928 23056 23276 24104 33143 33856 46112 46552 48208 66286 69299 92224 93104 96416 132572 138598 186208 192832 265144 277196 372416 530288 554392 762289 1060576 1108784 1524578 2121152 2217568 3049156 4435136 6098312 12196624 24393248 48786496