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2505776056 = 237615931237
BaseRepresentation
bin1001010101011011…
…0001101110111000
320110122001121112121
42111112301232320
520112434313211
61052351251024
7116044513360
oct22526615670
96418047477
102505776056
111076499703
1259b219a74
1330c1a2534
1419ab159a0
15e9ebc271
hex955b1bb8

2505776056 has 64 divisors (see below), whose sum is σ = 5471167680. Its totient is φ = 1053665280.

The previous prime is 2505776003. The next prime is 2505776083. The reversal of 2505776056 is 6506775052.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2025070 + ... + 2026306.

It is an arithmetic number, because the mean of its divisors is an integer number (85486995).

Almost surely, 22505776056 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 2505776056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2735583840).

2505776056 is an abundant number, since it is smaller than the sum of its proper divisors (2965391624).

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

2505776056 is a wasteful number, since it uses less digits than its factorization.

2505776056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1904 (or 1900 counting only the distinct ones).

The product of its (nonzero) digits is 441000, while the sum is 43.

The square root of 2505776056 is about 50057.7272356626. The cubic root of 2505776056 is about 1358.2532462231.

The spelling of 2505776056 in words is "two billion, five hundred five million, seven hundred seventy-six thousand, fifty-six".

Divisors: 1 2 4 7 8 14 28 56 61 122 244 427 488 593 854 1186 1237 1708 2372 2474 3416 4151 4744 4948 8302 8659 9896 16604 17318 33208 34636 36173 69272 72346 75457 144692 150914 253211 289384 301828 506422 528199 603656 733541 1012844 1056398 1467082 2025688 2112796 2934164 4225592 5134787 5868328 10269574 20539148 41078296 44746001 89492002 178984004 313222007 357968008 626444014 1252888028 2505776056