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2523052532 = 2272111390019
BaseRepresentation
bin1001011001100010…
…1011100111110100
320111211120100102002
42112120223213310
520131400140112
61054205434432
7116344410200
oct22630534764
96454510362
102523052532
111085219790
125a4b6ba18
133129410c0
1419d131b00
15eb7811c2
hex9662b9f4

2523052532 has 72 divisors (see below), whose sum is σ = 6034220640. Its totient is φ = 907381440.

The previous prime is 2523052531. The next prime is 2523052559. The reversal of 2523052532 is 2352503252.

It is a happy number.

It is a super-2 number, since 2×25230525322 = 12731588158463222048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2523052495 and 2523052504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2523052531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16982 + ... + 73037.

It is an arithmetic number, because the mean of its divisors is an integer number (83808620).

Almost surely, 22523052532 is an apocalyptic number.

2523052532 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2523052532 is an abundant number, since it is smaller than the sum of its proper divisors (3511168108).

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

2523052532 is a wasteful number, since it uses less digits than its factorization.

2523052532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90061 (or 90052 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 29.

The square root of 2523052532 is about 50229.9963368504. The cubic root of 2523052532 is about 1361.3676646797.

Adding to 2523052532 its reverse (2352503252), we get a palindrome (4875555784).

The spelling of 2523052532 in words is "two billion, five hundred twenty-three million, fifty-two thousand, five hundred thirty-two".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 49 52 77 91 98 143 154 182 196 286 308 364 539 572 637 1001 1078 1274 2002 2156 2548 4004 7007 14014 28028 90019 180038 360076 630133 990209 1170247 1260266 1980418 2340494 2520532 3960836 4410931 4680988 6931463 8191729 8821862 12872717 13862926 16383458 17643724 25745434 27725852 32766916 48520241 51490868 57342103 90109019 97040482 114684206 180218038 194080964 229368412 360436076 630763133 1261526266 2523052532