Search a number
-
+
2775049464 = 2331122347137
BaseRepresentation
bin1010010101100111…
…1110010011111000
321011101202010012210
42211121332103320
521140403040324
61135210535120
7125524350135
oct24531762370
97141663183
102775049464
1111a4496810
126554374a0
13352c02705
141c47ab58c
1511395bd29
hexa567e4f8

2775049464 has 64 divisors (see below), whose sum is σ = 7602416640. Its totient is φ = 837135360.

The previous prime is 2775049447. The next prime is 2775049477. The reversal of 2775049464 is 4649405772.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35304 + ... + 82440.

It is an arithmetic number, because the mean of its divisors is an integer number (118787760).

Almost surely, 22775049464 is an apocalyptic number.

2775049464 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 2775049464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3801208320).

2775049464 is an abundant number, since it is smaller than the sum of its proper divisors (4827367176).

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

2775049464 is a wasteful number, since it uses less digits than its factorization.

2775049464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47380 (or 47376 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 48.

The square root of 2775049464 is about 52678.7382536826. The cubic root of 2775049464 is about 1405.2607282835.

The spelling of 2775049464 in words is "two billion, seven hundred seventy-five million, forty-nine thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 223 264 446 669 892 1338 1784 2453 2676 4906 5352 7359 9812 14718 19624 29436 47137 58872 94274 141411 188548 282822 377096 518507 565644 1037014 1131288 1555521 2074028 3111042 4148056 6222084 10511551 12444168 21023102 31534653 42046204 63069306 84092408 115627061 126138612 231254122 252277224 346881183 462508244 693762366 925016488 1387524732 2775049464