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2492088264 = 233231236017
BaseRepresentation
bin1001010010001010…
…0011111111001000
320102200022012102100
42110202203333020
520100433311024
61051142033400
7115520254311
oct22442437710
96380265370
102492088264
11106979a886
12596718860
133093bc253
14198d91608
15e8bb67c9
hex948a3fc8

2492088264 has 72 divisors (see below), whose sum is σ = 6974345430. Its totient is φ = 803877120.

The previous prime is 2492088257. The next prime is 2492088283. The reversal of 2492088264 is 4628802942.

It can be written as a sum of positive squares in only one way, i.e., 2110667364 + 381420900 = 45942^2 + 19530^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 51184 + ... + 87200.

Almost surely, 22492088264 is an apocalyptic number.

2492088264 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 2492088264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3487172715).

2492088264 is an abundant number, since it is smaller than the sum of its proper divisors (4482257166).

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

2492088264 is a wasteful number, since it uses less digits than its factorization.

2492088264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36091 (or 36053 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 2492088264 is about 49920.8199451892. The cubic root of 2492088264 is about 1355.7755782824.

The spelling of 2492088264 in words is "two billion, four hundred ninety-two million, eighty-eight thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 961 1116 1922 2232 2883 3844 5766 7688 8649 11532 17298 23064 34596 36017 69192 72034 108051 144068 216102 288136 324153 432204 648306 864408 1116527 1296612 2233054 2593224 3349581 4466108 6699162 8932216 10048743 13398324 20097486 26796648 34612337 40194972 69224674 80389944 103837011 138449348 207674022 276898696 311511033 415348044 623022066 830696088 1246044132 2492088264