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2652096 = 26319727
BaseRepresentation
bin1010000111011111000000
311222201222210
422013133000
51134331341
6132502120
731354026
oct12073700
94881883
102652096
111551617
12a7a940
1371b1b5
144d0716
15375c16
hex2877c0

2652096 has 56 divisors (see below), whose sum is σ = 7396480. Its totient is φ = 836352.

The previous prime is 2652047. The next prime is 2652101. The reversal of 2652096 is 6902562.

It is a super-2 number, since 2×26520962 = 14067226386432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3285 + ... + 4011.

It is an arithmetic number, because the mean of its divisors is an integer number (132080).

22652096 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 2652096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3698240).

2652096 is an abundant number, since it is smaller than the sum of its proper divisors (4744384).

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

2652096 is a wasteful number, since it uses less digits than its factorization.

2652096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 2652096 is about 1628.5257136441. The cubic root of 2652096 is about 138.4192250572.

The spelling of 2652096 in words is "two million, six hundred fifty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 608 727 912 1216 1454 1824 2181 2908 3648 4362 5816 8724 11632 13813 17448 23264 27626 34896 41439 46528 55252 69792 82878 110504 139584 165756 221008 331512 442016 663024 884032 1326048 2652096