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25088052 = 22311316131
BaseRepresentation
bin101111110110…
…1000000110100
31202012121100010
41133231000310
522410304202
62253420220
7423150003
oct137550064
952177303
1025088052
1113186030
12849a670
135275302
143490c3a
15230876c
hex17ed034

25088052 has 48 divisors (see below), whose sum is σ = 65931264. Its totient is φ = 7356000.

The previous prime is 25088047. The next prime is 25088053.

25088052 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25088053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1027 + ... + 7157.

It is an arithmetic number, because the mean of its divisors is an integer number (1373568).

Almost surely, 225088052 is an apocalyptic number.

25088052 is a gapful number since it is divisible by the number (22) 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 25088052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32965632).

25088052 is an abundant number, since it is smaller than the sum of its proper divisors (40843212).

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

25088052 is a wasteful number, since it uses less digits than its factorization.

25088052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6180 (or 6178 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 25088052 is about 5008.7974604689. The cubic root of 25088052 is about 292.7446590592.

The spelling of 25088052 in words is "twenty-five million, eighty-eight thousand, fifty-two".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 186 341 372 682 1023 1364 2046 4092 6131 12262 18393 24524 36786 67441 73572 134882 190061 202323 269764 380122 404646 570183 760244 809292 1140366 2090671 2280732 4181342 6272013 8362684 12544026 25088052