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2799264 = 253132243
BaseRepresentation
bin1010101011011010100000
312021012212110
422223122200
51204034024
6135555320
732536056
oct12533240
95235773
102799264
111642146
12b2bb40
13770190
1452c1d6
153a4629
hex2ab6a0

2799264 has 48 divisors (see below), whose sum is σ = 7916832. Its totient is φ = 860928.

The previous prime is 2799259. The next prime is 2799281. The reversal of 2799264 is 4629972.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 127 + ... + 2369.

It is an arithmetic number, because the mean of its divisors is an integer number (164934).

22799264 is an apocalyptic number.

2799264 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 2799264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3958416).

2799264 is an abundant number, since it is smaller than the sum of its proper divisors (5117568).

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

2799264 is a wasteful number, since it uses less digits than its factorization.

2799264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2269 (or 2261 counting only the distinct ones).

The product of its digits is 54432, while the sum is 39.

The square root of 2799264 is about 1673.1001165501. The cubic root of 2799264 is about 140.9336240070.

The spelling of 2799264 in words is "two million, seven hundred ninety-nine thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 2243 4486 6729 8972 13458 17944 26916 29159 35888 53832 58318 71776 87477 107664 116636 174954 215328 233272 349908 466544 699816 933088 1399632 2799264