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2505232956 = 2232314960919
BaseRepresentation
bin1001010101010010…
…1101001000111100
320110121001000112210
42111110231020330
520112314423311
61052331500420
7116040062112
oct22524551074
96417030483
102505232956
111076158666
1259abb7710
1330c042285
1419aa13ab2
15e9e113a6
hex9552d23c

2505232956 has 48 divisors (see below), whose sum is σ = 6140736000. Its totient is φ = 793396032.

The previous prime is 2505232949. The next prime is 2505232969. The reversal of 2505232956 is 6592325052.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10665 + ... + 71583.

It is an arithmetic number, because the mean of its divisors is an integer number (127932000).

Almost surely, 22505232956 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 2505232956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3070368000).

2505232956 is an abundant number, since it is smaller than the sum of its proper divisors (3635503044).

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

2505232956 is a wasteful number, since it uses less digits than its factorization.

2505232956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61098 (or 61096 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 39.

The square root of 2505232956 is about 50052.3022047937. The cubic root of 2505232956 is about 1358.1551102070.

The spelling of 2505232956 in words is "two billion, five hundred five million, two hundred thirty-two thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 149 276 298 447 596 894 1788 3427 6854 10281 13708 20562 41124 60919 121838 182757 243676 365514 731028 1401137 2802274 4203411 5604548 8406822 9076931 16813644 18153862 27230793 36307724 54461586 108923172 208769413 417538826 626308239 835077652 1252616478 2505232956