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2525142032 = 247233672671
BaseRepresentation
bin1001011010000010…
…1001110000010000
320111222111111122222
42112200221300100
520132414021112
61054322320212
7116401232060
oct22640516020
96458444588
102525142032
111086416646
125a57b9068
133131c31aa
1419d5173a0
15eba45372
hex96829c10

2525142032 has 80 divisors (see below), whose sum is σ = 5852577792. Its totient is φ = 1031944320.

The previous prime is 2525142007. The next prime is 2525142043. The reversal of 2525142032 is 2302415252.

It is a junction number, because it is equal to n+sod(n) for n = 2525141992 and 2525142010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 944057 + ... + 946727.

Almost surely, 22525142032 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 2525142032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2926288896).

2525142032 is an abundant number, since it is smaller than the sum of its proper divisors (3327435760).

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

2525142032 is a wasteful number, since it uses less digits than its factorization.

2525142032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3076 (or 3070 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 2525142032 is about 50250.7913569528. The cubic root of 2525142032 is about 1361.7433726501.

Adding to 2525142032 its reverse (2302415252), we get a palindrome (4827557284).

The spelling of 2525142032 in words is "two billion, five hundred twenty-five million, one hundred forty-two thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 92 112 161 184 322 367 368 644 734 1288 1468 2569 2576 2671 2936 5138 5342 5872 8441 10276 10684 16882 18697 20552 21368 33764 37394 41104 42736 59087 61433 67528 74788 118174 122866 135056 149576 236348 245732 299152 430031 472696 491464 860062 945392 980257 982928 1720124 1960514 3440248 3921028 6861799 6880496 7842056 13723598 15684112 22545911 27447196 45091822 54894392 90183644 109788784 157821377 180367288 315642754 360734576 631285508 1262571016 2525142032