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2625264 = 243359103
BaseRepresentation
bin1010000000111011110000
311221101012000
422000323300
51133002024
6132134000
731212555
oct12007360
94841160
102625264
111533444
12a67300
1370bc15
144c4a2c
1536ccc9
hex280ef0

2625264 has 80 divisors (see below), whose sum is σ = 7737600. Its totient is φ = 851904.

The previous prime is 2625263. The next prime is 2625277. The reversal of 2625264 is 4625262.

It is a super-2 number, since 2×26252642 = 13784022139392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2625263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25437 + ... + 25539.

It is an arithmetic number, because the mean of its divisors is an integer number (96720).

22625264 is an apocalyptic number.

2625264 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 2625264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3868800).

2625264 is an abundant number, since it is smaller than the sum of its proper divisors (5112336).

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

2625264 is a wasteful number, since it uses less digits than its factorization.

2625264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 167 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 2625264 is about 1620.2666447224. The cubic root of 2625264 is about 137.9508331465.

The spelling of 2625264 in words is "two million, six hundred twenty-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 59 72 103 108 118 144 177 206 216 236 309 354 412 432 472 531 618 708 824 927 944 1062 1236 1416 1593 1648 1854 2124 2472 2781 2832 3186 3708 4248 4944 5562 6077 6372 7416 8496 11124 12154 12744 14832 18231 22248 24308 25488 36462 44496 48616 54693 72924 97232 109386 145848 164079 218772 291696 328158 437544 656316 875088 1312632 2625264