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25986048 = 210311769
BaseRepresentation
bin110001100100…
…0010000000000
31210220020011020
41203020100000
523123023143
62324545440
7433610034
oct143102000
953806136
1025986048
1113739780
128852280
1354cac7a
1436461c4
152434883
hex18c8400

25986048 has 88 divisors (see below), whose sum is σ = 75657120. Its totient is φ = 7864320.

The previous prime is 25986031. The next prime is 25986049. The reversal of 25986048 is 84068952.

It is a tau number, because it is divible by the number of its divisors (88).

It is not an unprimeable number, because it can be changed into a prime (25986049) 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, 33408 + ... + 34176.

It is an arithmetic number, because the mean of its divisors is an integer number (859740).

Almost surely, 225986048 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 25986048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37828560).

25986048 is an abundant number, since it is smaller than the sum of its proper divisors (49671072).

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

25986048 is a wasteful number, since it uses less digits than its factorization.

25986048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 25986048 is about 5097.6512238481. The cubic root of 25986048 is about 296.1966066605.

It can be divided in two parts, 2598 and 6048, that added together give a triangular number (8646 = T131).

The spelling of 25986048 in words is "twenty-five million, nine hundred eighty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 769 1024 1056 1408 1536 1538 2112 2307 2816 3072 3076 4224 4614 5632 6152 8448 8459 9228 11264 12304 16896 16918 18456 24608 25377 33792 33836 36912 49216 50754 67672 73824 98432 101508 135344 147648 196864 203016 270688 295296 393728 406032 541376 590592 787456 812064 1082752 1181184 1624128 2165504 2362368 3248256 4331008 6496512 8662016 12993024 25986048