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48282336 = 25322337197
BaseRepresentation
bin1011100000101…
…1101011100000
310100211222220200
42320023223200
544330013321
64442505200
71124251554
oct270135340
9110758820
1048282336
1125288263
1214205200
13a00663b
1465ab864
15438ad26
hex2e0bae0

48282336 has 144 divisors (see below), whose sum is σ = 147891744. Its totient is φ = 14902272.

The previous prime is 48282307. The next prime is 48282337. The reversal of 48282336 is 63328284.

48282336 is a `hidden beast` number, since 48 + 282 + 336 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 48282336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48282337) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 244990 + ... + 245186.

It is an arithmetic number, because the mean of its divisors is an integer number (1027026).

Almost surely, 248282336 is an apocalyptic number.

48282336 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 48282336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73945872).

48282336 is an abundant number, since it is smaller than the sum of its proper divisors (99609408).

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

48282336 is a wasteful number, since it uses less digits than its factorization.

48282336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 262 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 48282336 is about 6948.5492010923. The cubic root of 48282336 is about 364.1352795891.

The spelling of 48282336 in words is "forty-eight million, two hundred eighty-two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 37 46 48 69 72 74 92 96 111 138 144 148 184 197 207 222 276 288 296 333 368 394 414 444 552 591 592 666 736 788 828 851 888 1104 1182 1184 1332 1576 1656 1702 1773 1776 2208 2364 2553 2664 3152 3312 3404 3546 3552 4531 4728 5106 5328 6304 6624 6808 7092 7289 7659 9062 9456 10212 10656 13593 13616 14184 14578 15318 18124 18912 20424 21867 27186 27232 28368 29156 30636 36248 40779 40848 43734 54372 56736 58312 61272 65601 72496 81558 81696 87468 108744 116624 122544 131202 144992 163116 167647 174936 217488 233248 245088 262404 326232 335294 349872 434976 502941 524808 652464 670588 699744 1005882 1049616 1304928 1341176 1508823 2011764 2099232 2682352 3017646 4023528 5364704 6035292 8047056 12070584 16094112 24141168 48282336