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2523443252 = 22112313917939
BaseRepresentation
bin1001011001101000…
…1011000000110100
320111212022012101012
42112122023000310
520132000141002
61054222051352
7116350625261
oct22632130064
96455265335
102523443252
1110854662a0
125a5119b58
13312a49bb5
1419d1d4268
15eb80bd52
hex9668b034

2523443252 has 48 divisors (see below), whose sum is σ = 5063385600. Its totient is φ = 1089195360.

The previous prime is 2523443249. The next prime is 2523443269.

2523443252 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131699 + ... + 149637.

It is an arithmetic number, because the mean of its divisors is an integer number (105487200).

Almost surely, 22523443252 is an apocalyptic number.

2523443252 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2523443252 is an abundant number, since it is smaller than the sum of its proper divisors (2539942348).

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

2523443252 is a wasteful number, since it uses less digits than its factorization.

2523443252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18116 (or 18114 counting only the distinct ones).

The product of its digits is 57600, while the sum is 32.

The square root of 2523443252 is about 50233.8854957488. The cubic root of 2523443252 is about 1361.4379348666.

It can be divided in two parts, 25234 and 43252, that added together give a palindrome (68486).

The spelling of 2523443252 in words is "two billion, five hundred twenty-three million, four hundred forty-three thousand, two hundred fifty-two".

Divisors: 1 2 4 11 22 23 44 46 92 139 253 278 506 556 1012 1529 3058 3197 6116 6394 12788 17939 35167 35878 70334 71756 140668 197329 394658 412597 789316 825194 1650388 2493521 4538567 4987042 9077134 9974084 18154268 27428731 54857462 57350983 109714924 114701966 229403932 630860813 1261721626 2523443252