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2553696 = 25328867
BaseRepresentation
bin1001101111011101100000
311210202000100
421233131200
51123204241
6130422400
730464115
oct11573540
94722010
102553696
1114946a2
12a31a00
136b5482
144a690c
153569b6
hex26f760

2553696 has 36 divisors (see below), whose sum is σ = 7262892. Its totient is φ = 851136.

The previous prime is 2553671. The next prime is 2553701. The reversal of 2553696 is 6963552.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2553696.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4146 + ... + 4721.

It is an arithmetic number, because the mean of its divisors is an integer number (201747).

22553696 is an apocalyptic number.

It is an amenable number.

2553696 is an abundant number, since it is smaller than the sum of its proper divisors (4709196).

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

2553696 is a wasteful number, since it uses less digits than its factorization.

2553696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8883 (or 8872 counting only the distinct ones).

The product of its digits is 48600, while the sum is 36.

The square root of 2553696 is about 1598.0287857232. The cubic root of 2553696 is about 136.6856950173.

It can be divided in two parts, 2553 and 696, that added together give a square (3249 = 572).

The spelling of 2553696 in words is "two million, five hundred fifty-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 8867 17734 26601 35468 53202 70936 79803 106404 141872 159606 212808 283744 319212 425616 638424 851232 1276848 2553696