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25428384 = 2533191549
BaseRepresentation
bin110000100000…
…0000110100000
31202211220012000
41201000012200
523002202014
62305004000
7426065142
oct141000640
952756160
1025428384
11133987a3
128623600
1353641a7
14353cc92
152374509
hex18401a0

25428384 has 96 divisors (see below), whose sum is σ = 78120000. Its totient is φ = 8024832.

The previous prime is 25428373. The next prime is 25428397. The reversal of 25428384 is 48382452.

25428384 is a `hidden beast` number, since 254 + 28 + 384 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15642 + ... + 17190.

It is an arithmetic number, because the mean of its divisors is an integer number (813750).

Almost surely, 225428384 is an apocalyptic number.

25428384 is a gapful number since it is divisible by the number (24) 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 25428384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39060000).

25428384 is an abundant number, since it is smaller than the sum of its proper divisors (52691616).

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

25428384 is a wasteful number, since it uses less digits than its factorization.

25428384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1587 (or 1573 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 25428384 is about 5042.6564427889. The cubic root of 25428384 is about 294.0624606984.

The spelling of 25428384 in words is "twenty-five million, four hundred twenty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 96 108 114 144 152 171 216 228 288 304 342 432 456 513 608 684 864 912 1026 1368 1549 1824 2052 2736 3098 4104 4647 5472 6196 8208 9294 12392 13941 16416 18588 24784 27882 29431 37176 41823 49568 55764 58862 74352 83646 88293 111528 117724 148704 167292 176586 223056 235448 264879 334584 353172 446112 470896 529758 669168 706344 794637 941792 1059516 1338336 1412688 1589274 2119032 2825376 3178548 4238064 6357096 8476128 12714192 25428384