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25978368 = 293131301
BaseRepresentation
bin110001100011…
…0011000000000
31210212211121210
41203012120000
523122301433
62324450120
7433545453
oct143063000
953784553
1025978368
1113733a29
128849940
1354c7620
14364349a
152432463
hex18c6600

25978368 has 80 divisors (see below), whose sum is σ = 74588976. Its totient is φ = 7987200.

The previous prime is 25978367. The next prime is 25978369. The reversal of 25978368 is 86387952.

It is an interprime number because it is at equal distance from previous prime (25978367) and next prime (25978369).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25978367) 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, 19318 + ... + 20618.

Almost surely, 225978368 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 25978368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37294488).

25978368 is an abundant number, since it is smaller than the sum of its proper divisors (48610608).

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

25978368 is a wasteful number, since it uses less digits than its factorization.

25978368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1335 (or 1319 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The square root of 25978368 is about 5096.8978800835. The cubic root of 25978368 is about 296.1674241536.

The spelling of 25978368 in words is "twenty-five million, nine hundred seventy-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1248 1301 1536 1664 2496 2602 3328 3903 4992 5204 6656 7806 9984 10408 15612 16913 19968 20816 31224 33826 41632 50739 62448 67652 83264 101478 124896 135304 166528 202956 249792 270608 333056 405912 499584 541216 666112 811824 999168 1082432 1623648 1998336 2164864 3247296 4329728 6494592 8659456 12989184 25978368