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25267968 = 283211997
BaseRepresentation
bin110000001100…
…0111100000000
31202112202010200
41200120330000
522432033333
62301325200
7424526355
oct140307400
952482120
1025267968
1113299220
128566800
13530917b
1434da62c
152341c13
hex1818f00

25267968 has 108 divisors (see below), whose sum is σ = 79556568. Its totient is φ = 7649280.

The previous prime is 25267951. The next prime is 25267973. The reversal of 25267968 is 86976252.

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 11 ways as a sum of consecutive naturals, for example, 24846 + ... + 25842.

Almost surely, 225267968 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 25267968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39778284).

25267968 is an abundant number, since it is smaller than the sum of its proper divisors (54288600).

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

25267968 is a wasteful number, since it uses less digits than its factorization.

25267968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030 (or 1013 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 25267968 is about 5026.7253754308. The cubic root of 25267968 is about 293.4427874362.

The spelling of 25267968 in words is "twenty-five million, two hundred sixty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 528 576 704 768 792 997 1056 1152 1408 1584 1994 2112 2304 2816 2991 3168 3988 4224 5982 6336 7976 8448 8973 10967 11964 12672 15952 17946 21934 23928 25344 31904 32901 35892 43868 47856 63808 65802 71784 87736 95712 98703 127616 131604 143568 175472 191424 197406 255232 263208 287136 350944 382848 394812 526416 574272 701888 765696 789624 1052832 1148544 1403776 1579248 2105664 2297088 2807552 3158496 4211328 6316992 8422656 12633984 25267968