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2955264 = 21131337
BaseRepresentation
bin1011010001100000000000
312120010212020
423101200000
51224032024
6143201440
734055634
oct13214000
95503766
102955264
111739374
12ba6280
137c61a0
1456cdc4
153d5979
hex2d1800

2955264 has 96 divisors (see below), whose sum is σ = 8714160. Its totient is φ = 884736.

The previous prime is 2955257. The next prime is 2955269. The reversal of 2955264 is 4625592.

It is a tau number, because it is divible by the number of its divisors (96).

Its product of digits (21600) is a multiple of the sum of its prime factors (75).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2955269) 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, 79854 + ... + 79890.

22955264 is an apocalyptic number.

2955264 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 2955264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4357080).

2955264 is an abundant number, since it is smaller than the sum of its proper divisors (5758896).

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

2955264 is a wasteful number, since it uses less digits than its factorization.

2955264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 55 counting only the distinct ones).

The product of its digits is 21600, while the sum is 33.

The square root of 2955264 is about 1719.0881303761. The cubic root of 2955264 is about 143.5044695844.

The spelling of 2955264 in words is "two million, nine hundred fifty-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 37 39 48 52 64 74 78 96 104 111 128 148 156 192 208 222 256 296 312 384 416 444 481 512 592 624 768 832 888 962 1024 1184 1248 1443 1536 1664 1776 1924 2048 2368 2496 2886 3072 3328 3552 3848 4736 4992 5772 6144 6656 7104 7696 9472 9984 11544 13312 14208 15392 18944 19968 23088 26624 28416 30784 37888 39936 46176 56832 61568 75776 79872 92352 113664 123136 184704 227328 246272 369408 492544 738816 985088 1477632 2955264