Search a number
-
+
3250632632 = 23131937173257
BaseRepresentation
bin1100000111000000…
…1011011110111000
322101112122020200012
43001300023132320
523124130221012
61254320201052
7143360631032
oct30160133670
98345566605
103250632632
111418996455
12768769188
133ca5b8b80
1422ba08c52
151405a0622
hexc1c0b7b8

3250632632 has 128 divisors (see below), whose sum is σ = 7164763200. Its totient is φ = 1369571328.

The previous prime is 3250632631. The next prime is 3250632641. The reversal of 3250632632 is 2362360523.

It is a super-2 number, since 2×32506326322 = 21133225016446494848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3250632631) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12648248 + ... + 12648504.

Almost surely, 23250632632 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 3250632632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3582381600).

3250632632 is an abundant number, since it is smaller than the sum of its proper divisors (3914130568).

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

3250632632 is a wasteful number, since it uses less digits than its factorization.

3250632632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 32.

The square root of 3250632632 is about 57014.3195346573. The cubic root of 3250632632 is about 1481.3441392406.

The spelling of 3250632632 in words is "three billion, two hundred fifty million, six hundred thirty-two thousand, six hundred thirty-two".

Divisors: 1 2 4 8 13 19 26 37 38 52 74 76 104 148 152 173 247 257 296 346 481 494 514 692 703 962 988 1028 1384 1406 1924 1976 2056 2249 2812 3287 3341 3848 4498 4883 5624 6401 6574 6682 8996 9139 9509 9766 12802 13148 13364 17992 18278 19018 19532 25604 26296 26728 36556 38036 39064 42731 44461 51208 63479 73112 76072 83213 85462 88922 121619 123617 126958 166426 170924 177844 180671 243238 247234 253916 332852 341848 355688 361342 486476 494468 507832 577993 665704 722684 844759 972952 988936 1155986 1445368 1581047 1645057 1689518 2311972 2348723 3162094 3290114 3379036 4623944 4697446 6324188 6580228 6758072 9394892 10981867 12648376 13160456 18789784 21385741 21963734 31256083 42771482 43927468 62512166 85542964 87854936 125024332 171085928 250048664 406329079 812658158 1625316316 3250632632