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48582396 = 22331747563
BaseRepresentation
bin1011100101010…
…0111011111100
310101102020112000
42321110323330
544414114041
64453142300
71126641432
oct271247374
9111366460
1048582396
1125472745
121432a990
13a0b00a5
146648d52
1543e9bb6
hex2e54efc

48582396 has 96 divisors (see below), whose sum is σ = 136442880. Its totient is φ = 14890752.

The previous prime is 48582383. The next prime is 48582403. The reversal of 48582396 is 69328584.

48582396 is a `hidden beast` number, since 485 + 82 + 3 + 96 = 666.

It is a super-2 number, since 2×485823962 = 4720498402201632, which contains 22 as substring.

Its product of digits (414720) is a multiple of the sum of its prime factors (640).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86011 + ... + 86573.

It is an arithmetic number, because the mean of its divisors is an integer number (1421280).

Almost surely, 248582396 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 48582396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68221440).

48582396 is an abundant number, since it is smaller than the sum of its proper divisors (87860484).

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

48582396 is a wasteful number, since it uses less digits than its factorization.

48582396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 632 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 48582396 is about 6970.1073162470. The cubic root of 48582396 is about 364.8880522388. Note that the first 3 decimals are identical.

The spelling of 48582396 in words is "forty-eight million, five hundred eighty-two thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 47 51 54 68 94 102 108 141 153 188 204 282 306 423 459 563 564 612 799 846 918 1126 1269 1598 1689 1692 1836 2252 2397 2538 3196 3378 4794 5067 5076 6756 7191 9571 9588 10134 14382 15201 19142 20268 21573 26461 28713 28764 30402 38284 43146 52922 57426 60804 79383 86139 86292 105844 114852 158766 172278 238149 258417 317532 344556 449837 476298 516834 714447 899674 952596 1033668 1349511 1428894 1799348 2699022 2857788 4048533 5398044 8097066 12145599 16194132 24291198 48582396