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2552368 = 247131753
BaseRepresentation
bin1001101111001000110000
311210200012011
421233020300
51123133433
6130412304
730460210
oct11571060
94720164
102552368
1114936a5
12a31094
136b49a0
144a6240
153563cd
hex26f230

2552368 has 40 divisors (see below), whose sum is σ = 6089888. Its totient is φ = 1009152.

The previous prime is 2552359. The next prime is 2552369. The reversal of 2552368 is 8632552.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2552369) 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, 580 + ... + 2332.

22552368 is an apocalyptic number.

2552368 is a gapful number since it is divisible by the number (28) 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 2552368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3044944).

2552368 is an abundant number, since it is smaller than the sum of its proper divisors (3537520).

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

2552368 is a wasteful number, since it uses less digits than its factorization.

2552368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1781 (or 1775 counting only the distinct ones).

The product of its digits is 14400, while the sum is 31.

The square root of 2552368 is about 1597.6132197750. The cubic root of 2552368 is about 136.6619973287.

The spelling of 2552368 in words is "two million, five hundred fifty-two thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 728 1456 1753 3506 7012 12271 14024 22789 24542 28048 45578 49084 91156 98168 159523 182312 196336 319046 364624 638092 1276184 2552368