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2651264 = 27711269
BaseRepresentation
bin1010000111010010000000
311222200211222
422013102000
51134320024
6132454212
731351430
oct12072200
94880758
102651264
111550a30
12a7a368
1371a9c5
144d02c0
1537585e
hex287480

2651264 has 64 divisors (see below), whose sum is σ = 6609600. Its totient is φ = 1029120.

The previous prime is 2651239. The next prime is 2651273. The reversal of 2651264 is 4621562.

2651264 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9722 + ... + 9990.

It is an arithmetic number, because the mean of its divisors is an integer number (103275).

22651264 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 2651264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3304800).

2651264 is an abundant number, since it is smaller than the sum of its proper divisors (3958336).

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

2651264 is a wasteful number, since it uses less digits than its factorization.

2651264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 289 counting only the distinct ones).

The product of its digits is 2880, while the sum is 26.

The square root of 2651264 is about 1628.2702478397. The cubic root of 2651264 is about 138.4047488542.

The spelling of 2651264 in words is "two million, six hundred fifty-one thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 269 308 352 448 538 616 704 896 1076 1232 1408 1883 2152 2464 2959 3766 4304 4928 5918 7532 8608 9856 11836 15064 17216 20713 23672 30128 34432 41426 47344 60256 82852 94688 120512 165704 189376 241024 331408 378752 662816 1325632 2651264