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2525381632 = 21014331721
BaseRepresentation
bin1001011010000110…
…0100010000000000
320111222221200100001
42112201210100000
520132444203012
61054331405344
7116403250444
oct22641442000
96458850301
102525381632
11108656a664
125a58b3854
13313278277
1419d57a824
15eba91357
hex96864400

2525381632 has 44 divisors (see below), whose sum is σ = 5054755356. Its totient is φ = 1261076480.

The previous prime is 2525381627. The next prime is 2525381659. The reversal of 2525381632 is 2361835252.

It can be written as a sum of positive squares in 2 ways, for example, as 1984167936 + 541213696 = 44544^2 + 23264^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2525381591 and 2525381600.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1466532 + ... + 1468252.

Almost surely, 22525381632 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 2525381632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2527377678).

2525381632 is an abundant number, since it is smaller than the sum of its proper divisors (2529373724).

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

2525381632 is a wasteful number, since it uses less digits than its factorization.

2525381632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3174 (or 3156 counting only the distinct ones).

The product of its digits is 86400, while the sum is 37.

The square root of 2525381632 is about 50253.1753424597. The cubic root of 2525381632 is about 1361.7864413024.

The spelling of 2525381632 in words is "two billion, five hundred twenty-five million, three hundred eighty-one thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 1433 1721 2866 3442 5732 6884 11464 13768 22928 27536 45856 55072 91712 110144 183424 220288 366848 440576 733696 881152 1467392 1762304 2466193 4932386 9864772 19729544 39459088 78918176 157836352 315672704 631345408 1262690816 2525381632