Search a number
-
+
25373664 = 2532194637
BaseRepresentation
bin110000011001…
…0101111100000
31202202010010100
41200302233200
522443424124
62303502400
7425446461
oct140625740
952663110
1025373664
1113360678
1285b7a00
135345304
143526d68
1523631c9
hex1832be0

25373664 has 72 divisors (see below), whose sum is σ = 75970440. Its totient is φ = 8011008.

The previous prime is 25373653. The next prime is 25373687. The reversal of 25373664 is 46637352.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3154 + ... + 7790.

It is an arithmetic number, because the mean of its divisors is an integer number (1055145).

Almost surely, 225373664 is an apocalyptic number.

25373664 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 25373664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37985220).

25373664 is an abundant number, since it is smaller than the sum of its proper divisors (50596776).

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

25373664 is a wasteful number, since it uses less digits than its factorization.

25373664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4672 (or 4661 counting only the distinct ones).

The product of its digits is 90720, while the sum is 36.

The square root of 25373664 is about 5037.2278090235. The cubic root of 25373664 is about 293.8513756637.

The spelling of 25373664 in words is "twenty-five million, three hundred seventy-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 4637 5472 9274 13911 18548 27822 37096 41733 55644 74192 83466 88103 111288 148384 166932 176206 222576 264309 333864 352412 445152 528618 667728 704824 792927 1057236 1335456 1409648 1585854 2114472 2819296 3171708 4228944 6343416 8457888 12686832 25373664