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25957248 = 273232939
BaseRepresentation
bin110001100000…
…1001110000000
31210211202122120
41203001032000
523121112443
62324204240
7433430052
oct143011600
953752576
1025957248
111371a079
128839680
1354bab25
1436398d2
15242b083
hex18c1380

25957248 has 64 divisors (see below), whose sum is σ = 71971200. Its totient is φ = 8273408.

The previous prime is 25957247. The next prime is 25957259. The reversal of 25957248 is 84275952.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25957241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7363 + ... + 10301.

It is an arithmetic number, because the mean of its divisors is an integer number (1124550).

Almost surely, 225957248 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 25957248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35985600).

25957248 is an abundant number, since it is smaller than the sum of its proper divisors (46013952).

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

25957248 is a wasteful number, since it uses less digits than its factorization.

25957248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2979 (or 2967 counting only the distinct ones).

The product of its digits is 201600, while the sum is 42.

The square root of 25957248 is about 5094.8256103619. The cubic root of 25957248 is about 296.0871425920.

The spelling of 25957248 in words is "twenty-five million, nine hundred fifty-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 276 368 384 552 736 1104 1472 2208 2939 2944 4416 5878 8817 8832 11756 17634 23512 35268 47024 67597 70536 94048 135194 141072 188096 202791 270388 282144 376192 405582 540776 564288 811164 1081552 1128576 1622328 2163104 3244656 4326208 6489312 8652416 12978624 25957248