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25828384 = 255397157
BaseRepresentation
bin110001010000…
…1110000100000
31210121012212211
41202201300200
523103002014
62321331504
7432352261
oct142416040
953535784
1025828384
111364127a
128796b94
13547428a
143604968
152402cc4
hex18a1c20

25828384 has 48 divisors (see below), whose sum is σ = 52676568. Its totient is φ = 12460032.

The previous prime is 25828373. The next prime is 25828393. The reversal of 25828384 is 48382852.

It can be written as a sum of positive squares in 4 ways, for example, as 21715600 + 4112784 = 4660^2 + 2028^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 164434 + ... + 164590.

Almost surely, 225828384 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 25828384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26338284).

25828384 is an abundant number, since it is smaller than the sum of its proper divisors (26848184).

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

25828384 is a wasteful number, since it uses less digits than its factorization.

25828384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 309 counting only the distinct ones).

The product of its digits is 122880, while the sum is 40.

The square root of 25828384 is about 5082.1633189027. The cubic root of 25828384 is about 295.5963575389.

The spelling of 25828384 in words is "twenty-five million, eight hundred twenty-eight thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 32 53 97 106 157 194 212 314 388 424 628 776 848 1256 1552 1696 2512 3104 5024 5141 8321 10282 15229 16642 20564 30458 33284 41128 60916 66568 82256 121832 133136 164512 243664 266272 487328 807137 1614274 3228548 6457096 12914192 25828384