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2523663252 = 223211311671231
BaseRepresentation
bin1001011001101100…
…0000101110010100
320111212201101011100
42112123000232110
520132024211002
61054230510100
7116352532545
oct22633005624
96455641140
102523663252
1110855a6610
125a5205330
13312ac6086
1419d2504cc
15eb85211c
hex966c0b94

2523663252 has 144 divisors (see below), whose sum is σ = 7232569344. Its totient is φ = 735048000.

The previous prime is 2523663251. The next prime is 2523663253.

2523663252 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (2523663251) and next prime (2523663253).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2523663251) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2049477 + ... + 2050707.

It is an arithmetic number, because the mean of its divisors is an integer number (50226176).

Almost surely, 22523663252 is an apocalyptic number.

2523663252 is a gapful number since it is divisible by the number (22) 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 2523663252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3616284672).

2523663252 is an abundant number, since it is smaller than the sum of its proper divisors (4708906092).

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

2523663252 is a wasteful number, since it uses less digits than its factorization.

2523663252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1450 (or 1445 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

The square root of 2523663252 is about 50236.0752049760. The cubic root of 2523663252 is about 1361.4774982213.

It can be divided in two parts, 25236 and 63252, that added together give a palindrome (88488).

The spelling of 2523663252 in words is "two billion, five hundred twenty-three million, six hundred sixty-three thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 31 33 36 44 62 66 93 99 124 132 167 186 198 279 334 341 372 396 501 558 668 682 1002 1023 1116 1231 1364 1503 1837 2004 2046 2462 3006 3069 3674 3693 4092 4924 5177 5511 6012 6138 7348 7386 10354 11022 11079 12276 13541 14772 15531 16533 20708 22044 22158 27082 31062 33066 38161 40623 44316 46593 54164 56947 62124 66132 76322 81246 93186 113894 114483 121869 152644 162492 170841 186372 205577 227788 228966 243738 341682 343449 411154 419771 457932 487476 512523 616731 683364 686898 822308 839542 1025046 1233462 1259313 1373796 1679084 1850193 2050092 2261347 2466924 2518626 3700386 3777939 4522694 5037252 6372887 6784041 7400772 7555878 9045388 12745774 13568082 15111756 19118661 20352123 25491548 27136164 38237322 40704246 57355983 70101757 76474644 81408492 114711966 140203514 210305271 229423932 280407028 420610542 630915813 841221084 1261831626 2523663252