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25293696 = 273199331
BaseRepresentation
bin110000001111…
…1001110000000
31202121001102120
41200133032000
522433344241
62302044240
7424664361
oct140371600
952531376
1025293696
111330658a
128579680
135317aac
143505b68
152349666
hex181f380

25293696 has 64 divisors (see below), whose sum is σ = 67728000. Its totient is φ = 8363520.

The previous prime is 25293689. The next prime is 25293791. The reversal of 25293696 is 69639252.

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

It is a zygodrome in base 2.

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, 76251 + ... + 76581.

It is an arithmetic number, because the mean of its divisors is an integer number (1058250).

Almost surely, 225293696 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 25293696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33864000).

25293696 is an abundant number, since it is smaller than the sum of its proper divisors (42434304).

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

25293696 is a wasteful number, since it uses less digits than its factorization.

25293696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 535 counting only the distinct ones).

The product of its digits is 174960, while the sum is 42.

The square root of 25293696 is about 5029.2838456385. The cubic root of 25293696 is about 293.5423487345.

The spelling of 25293696 in words is "twenty-five million, two hundred ninety-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 199 331 384 398 597 662 796 993 1194 1324 1592 1986 2388 2648 3184 3972 4776 5296 6368 7944 9552 10592 12736 15888 19104 21184 25472 31776 38208 42368 63552 65869 76416 127104 131738 197607 263476 395214 526952 790428 1053904 1580856 2107808 3161712 4215616 6323424 8431232 12646848 25293696