Search a number
-
+
2508100290 = 2325137320297
BaseRepresentation
bin1001010101111110…
…1001001011000010
320110210102200210100
42111133221023002
520114033202130
61052513143230
7116103333513
oct22537511302
96423380710
102508100290
111077836963
1259bb5ab16
1330c807417
1419b15ca0a
15ea2cac60
hex957e92c2

2508100290 has 48 divisors (see below), whose sum is σ = 6526131768. Its totient is φ = 668306688.

The previous prime is 2508100279. The next prime is 2508100319. The reversal of 2508100290 is 920018052.

2508100290 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2461846689 + 46253601 = 49617^2 + 6801^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113422 + ... + 133718.

Almost surely, 22508100290 is an apocalyptic number.

2508100290 is an abundant number, since it is smaller than the sum of its proper divisors (4018031478).

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

2508100290 is a wasteful number, since it uses less digits than its factorization.

2508100290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21683 (or 21680 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 2508100290 is about 50080.9373913868. The cubic root of 2508100290 is about 1358.6730659711.

The spelling of 2508100290 in words is "two billion, five hundred eight million, one hundred thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1373 2746 4119 6865 8238 12357 13730 20297 20595 24714 40594 41190 60891 61785 101485 121782 123570 182673 202970 304455 365346 608910 913365 1826730 27867781 55735562 83603343 139338905 167206686 250810029 278677810 418016715 501620058 836033430 1254050145 2508100290