Search a number
-
+
2771264 = 26194353
BaseRepresentation
bin1010100100100101000000
312012210110102
422210211000
51202140024
6135221532
732361326
oct12444500
95183412
102771264
111623101
12b178a8
13760502
14521d16
1539b1ae
hex2a4940

2771264 has 56 divisors (see below), whose sum is σ = 6035040. Its totient is φ = 1257984.

The previous prime is 2771257. The next prime is 2771273. The reversal of 2771264 is 4621772.

It is a congruent number.

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, 52262 + ... + 52314.

22771264 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 2771264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3017520).

2771264 is an abundant number, since it is smaller than the sum of its proper divisors (3263776).

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

2771264 is a wasteful number, since it uses less digits than its factorization.

2771264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 117 counting only the distinct ones).

The product of its digits is 4704, while the sum is 29.

The square root of 2771264 is about 1664.7113863971. The cubic root of 2771264 is about 140.4621462255.

The spelling of 2771264 in words is "two million, seven hundred seventy-one thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 19 32 38 43 53 64 76 86 106 152 172 212 304 344 424 608 688 817 848 1007 1216 1376 1634 1696 2014 2279 2752 3268 3392 4028 4558 6536 8056 9116 13072 16112 18232 26144 32224 36464 43301 52288 64448 72928 86602 145856 173204 346408 692816 1385632 2771264