Search a number
-
+
2505045504 = 29313125453
BaseRepresentation
bin1001010101001111…
…1111011000000000
320110120200111102010
42111103333120000
520112242424004
61052323452520
7116035351443
oct22523773000
96416614363
102505045504
11107603a845
1259ab27140
1330bca7b60
1419a9a565a
15e9dc5a89
hex954ff600

2505045504 has 80 divisors (see below), whose sum is σ = 7187008752. Its totient is φ = 770777088.

The previous prime is 2505045503. The next prime is 2505045509. The reversal of 2505045504 is 4055405052.

It is a super-2 number, since 2×25050455042 = 12550505954221228032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2505045503) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42759 + ... + 82694.

Almost surely, 22505045504 is an apocalyptic number.

2505045504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2505045504 is an abundant number, since it is smaller than the sum of its proper divisors (4681963248).

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

2505045504 is a wasteful number, since it uses less digits than its factorization.

2505045504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125487 (or 125471 counting only the distinct ones).

The product of its (nonzero) digits is 20000, while the sum is 30.

The square root of 2505045504 is about 50050.4296085458. The cubic root of 2505045504 is about 1358.1212350815.

The spelling of 2505045504 in words is "two billion, five hundred five million, forty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1248 1536 1664 2496 3328 4992 6656 9984 19968 125453 250906 376359 501812 752718 1003624 1505436 1630889 2007248 3010872 3261778 4014496 4892667 6021744 6523556 8028992 9785334 12043488 13047112 16057984 19570668 24086976 26094224 32115968 39141336 48173952 52188448 64231936 78282672 96347904 104376896 156565344 192695808 208753792 313130688 417507584 626261376 835015168 1252522752 2505045504