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2505055256 = 231124755061
BaseRepresentation
bin1001010101010000…
…0001110000011000
320110120200222210022
42111110001300120
520112243232011
61052324010012
7116035422044
oct22524016030
96416628708
102505055256
111076047100
1259ab30908
1330bcac422
1419a9a9024
15e9dc88db
hex95501c18

2505055256 has 48 divisors (see below), whose sum is σ = 5272737120. Its totient is φ = 1114414400.

The previous prime is 2505055253. The next prime is 2505055261. The reversal of 2505055256 is 6525505052.

It is a super-2 number, since 2×25050552562 = 12550603671226451072, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2505055253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17966 + ... + 73026.

It is an arithmetic number, because the mean of its divisors is an integer number (109848690).

Almost surely, 22505055256 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 2505055256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2636368560).

2505055256 is an abundant number, since it is smaller than the sum of its proper divisors (2767681864).

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

2505055256 is a wasteful number, since it uses less digits than its factorization.

2505055256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55136 (or 55121 counting only the distinct ones).

The product of its (nonzero) digits is 75000, while the sum is 35.

The square root of 2505055256 is about 50050.5270301922. The cubic root of 2505055256 is about 1358.1229974422.

The spelling of 2505055256 in words is "two billion, five hundred five million, fifty-five thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 22 44 47 88 94 121 188 242 376 484 517 968 1034 2068 4136 5687 11374 22748 45496 55061 110122 220244 440488 605671 1211342 2422684 2587867 4845368 5175734 6662381 10351468 13324762 20702936 26649524 28466537 53299048 56933074 113866148 227732296 313131907 626263814 1252527628 2505055256