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2523144252 = 2232338323869
BaseRepresentation
bin1001011001100100…
…0010000000111100
320111211202000020010
42112121002000330
520131411104002
61054211423220
7116345241456
oct22631020074
96454660203
102523144252
111085281692
125a4bb4b10
13312973a85
1419d1572d6
15eb79d46c
hex9664203c

2523144252 has 48 divisors (see below), whose sum is σ = 6159605760. Its totient is φ = 802346688.

The previous prime is 2523144227. The next prime is 2523144257. The reversal of 2523144252 is 2524413252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2523144257) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93774 + ... + 117642.

It is an arithmetic number, because the mean of its divisors is an integer number (128325120).

Almost surely, 22523144252 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 2523144252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3079802880).

2523144252 is an abundant number, since it is smaller than the sum of its proper divisors (3636461508).

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

2523144252 is a wasteful number, since it uses less digits than its factorization.

2523144252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24282 (or 24280 counting only the distinct ones).

The product of its digits is 19200, while the sum is 30.

The square root of 2523144252 is about 50230.9093288186. The cubic root of 2523144252 is about 1361.3841609843.

The spelling of 2523144252 in words is "two billion, five hundred twenty-three million, one hundred forty-four thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 383 766 1149 1532 2298 4596 8809 17618 23869 26427 35236 47738 52854 71607 95476 105708 143214 286428 548987 1097974 1646961 2195948 3293922 6587844 9141827 18283654 27425481 36567308 54850962 109701924 210262021 420524042 630786063 841048084 1261572126 2523144252