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25976064 = 283149227
BaseRepresentation
bin110001100010…
…1110100000000
31210212201110110
41203011310000
523122213224
62324431320
7433535652
oct143056400
953781413
1025976064
1113732224
128848540
1354c656a
1436426d2
152431929
hex18c5d00

25976064 has 72 divisors (see below), whose sum is σ = 69904800. Its totient is φ = 8562688.

The previous prime is 25976053. The next prime is 25976081. The reversal of 25976064 is 46067952.

It is a congruent number.

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, 114319 + ... + 114545.

It is an arithmetic number, because the mean of its divisors is an integer number (970900).

Almost surely, 225976064 is an apocalyptic number.

25976064 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 25976064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34952400).

25976064 is an abundant number, since it is smaller than the sum of its proper divisors (43928736).

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

25976064 is a wasteful number, since it uses less digits than its factorization.

25976064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 25976064 is about 5096.6718552404. The cubic root of 25976064 is about 296.1586682800.

The spelling of 25976064 in words is "twenty-five million, nine hundred seventy-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 149 192 227 256 298 384 447 454 596 681 768 894 908 1192 1362 1788 1816 2384 2724 3576 3632 4768 5448 7152 7264 9536 10896 14304 14528 19072 21792 28608 29056 33823 38144 43584 57216 58112 67646 87168 101469 114432 135292 174336 202938 270584 405876 541168 811752 1082336 1623504 2164672 3247008 4329344 6494016 8658688 12988032 25976064