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25905152 = 211713139
BaseRepresentation
bin110001011010…
…0100000000000
31210202010012002
41202310200000
523112431102
62323123132
7433122140
oct142644000
953663162
1025905152
1113693a19
1288134a8
1354a01c0
143624920
15241a902
hex18b4800

25905152 has 96 divisors (see below), whose sum is σ = 64209600. Its totient is φ = 10174464.

The previous prime is 25905133. The next prime is 25905169. The reversal of 25905152 is 25150952.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 186299 + ... + 186437.

It is an arithmetic number, because the mean of its divisors is an integer number (668850).

Almost surely, 225905152 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 25905152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32104800).

25905152 is an abundant number, since it is smaller than the sum of its proper divisors (38304448).

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

25905152 is a wasteful number, since it uses less digits than its factorization.

25905152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 29.

The square root of 25905152 is about 5089.7104043354. The cubic root of 25905152 is about 295.8889283776. Note that the first 3 decimals are identical.

The spelling of 25905152 in words is "twenty-five million, nine hundred five thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 139 182 208 224 256 278 364 416 448 512 556 728 832 896 973 1024 1112 1456 1664 1792 1807 1946 2048 2224 2912 3328 3584 3614 3892 4448 5824 6656 7168 7228 7784 8896 11648 12649 13312 14336 14456 15568 17792 23296 25298 26624 28912 31136 35584 46592 50596 57824 62272 71168 93184 101192 115648 124544 142336 186368 202384 231296 249088 284672 404768 462592 498176 809536 925184 996352 1619072 1850368 1992704 3238144 3700736 6476288 12952576 25905152