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2524252120 = 2351338912479
BaseRepresentation
bin1001011001110101…
…0000011111011000
320111220211021221021
42112131100133120
520132202031440
61054251252224
7116360534425
oct22635203730
96456737837
102524252120
111085968a85
125a544a074
13312c71110
1419d364d4c
15eb91b84a
hex967507d8

2524252120 has 64 divisors (see below), whose sum is σ = 6132672000. Its totient is φ = 929561088.

The previous prime is 2524252117. The next prime is 2524252141. The reversal of 2524252120 is 212524252.

2524252120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 196041 + ... + 208519.

It is an arithmetic number, because the mean of its divisors is an integer number (95823000).

Almost surely, 22524252120 is an apocalyptic number.

2524252120 is a gapful number since it is divisible by the number (20) 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 2524252120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3066336000).

2524252120 is an abundant number, since it is smaller than the sum of its proper divisors (3608419880).

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

2524252120 is a wasteful number, since it uses less digits than its factorization.

2524252120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12892 (or 12888 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 2524252120 is about 50241.9358703464. The cubic root of 2524252120 is about 1361.5833850614.

Adding to 2524252120 its reverse (212524252), we get a palindrome (2736776372).

The spelling of 2524252120 in words is "two billion, five hundred twenty-four million, two hundred fifty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 389 520 778 1556 1945 3112 3890 5057 7780 10114 12479 15560 20228 24958 25285 40456 49916 50570 62395 99832 101140 124790 162227 202280 249580 324454 499160 648908 811135 1297816 1622270 3244540 4854331 6489080 9708662 19417324 24271655 38834648 48543310 63106303 97086620 126212606 194173240 252425212 315531515 504850424 631063030 1262126060 2524252120