Search a number
-
+
2508730032 = 243596831297
BaseRepresentation
bin1001010110001000…
…0010111010110000
320110211121200122010
42111202002322300
520114213330112
61052534442520
7116111565504
oct22542027260
96424550563
102508730032
111078127006
125a0203440
1330c997c53
1419b284304
15ea3a263c
hex95882eb0

2508730032 has 80 divisors (see below), whose sum is σ = 6605470080. Its totient is φ = 820233216.

The previous prime is 2508730027. The next prime is 2508730043. The reversal of 2508730032 is 2300378052.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1933608 + ... + 1934904.

It is an arithmetic number, because the mean of its divisors is an integer number (82568376).

Almost surely, 22508730032 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 2508730032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3302735040).

2508730032 is an abundant number, since it is smaller than the sum of its proper divisors (4096740048).

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

2508730032 is a wasteful number, since it uses less digits than its factorization.

2508730032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2050 (or 2044 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 2508730032 is about 50087.2242393207. The cubic root of 2508730032 is about 1358.7867698100.

The spelling of 2508730032 in words is "two billion, five hundred eight million, seven hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 118 177 236 354 472 683 708 944 1297 1366 1416 2049 2594 2732 2832 3891 4098 5188 5464 7782 8196 10376 10928 15564 16392 20752 31128 32784 40297 62256 76523 80594 120891 153046 161188 229569 241782 306092 322376 459138 483564 612184 644752 885851 918276 967128 1224368 1771702 1836552 1934256 2657553 3543404 3673104 5315106 7086808 10630212 14173616 21260424 42520848 52265209 104530418 156795627 209060836 313591254 418121672 627182508 836243344 1254365016 2508730032