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2504767056 = 2431111634079
BaseRepresentation
bin1001010101001011…
…1011011001010000
320110120011100110020
42111102323121100
520112210021211
61052313503440
7116033111601
oct22522733120
96416140406
102504767056
11107596a620
1259aa11b80
1330bc0b1ac
1419a931da8
15e9d6d306
hex954bb650

2504767056 has 80 divisors (see below), whose sum is σ = 7066690560. Its totient is φ = 758181760.

The previous prime is 2504767051. The next prime is 2504767079. The reversal of 2504767056 is 6507674052.

It is a junction number, because it is equal to n+sod(n) for n = 2504766999 and 2504767017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2504767051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 612025 + ... + 616103.

It is an arithmetic number, because the mean of its divisors is an integer number (88333632).

Almost surely, 22504767056 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 2504767056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3533345280).

2504767056 is an abundant number, since it is smaller than the sum of its proper divisors (4561923504).

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

2504767056 is a wasteful number, since it uses less digits than its factorization.

2504767056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5264 (or 5258 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 42.

The square root of 2504767056 is about 50047.6478568174. The cubic root of 2504767056 is about 1358.0709126219.

The spelling of 2504767056 in words is "two billion, five hundred four million, seven hundred sixty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 1163 2326 3489 4079 4652 6978 8158 9304 12237 12793 13956 16316 18608 24474 25586 27912 32632 38379 44869 48948 51172 55824 65264 76758 89738 97896 102344 134607 153516 179476 195792 204688 269214 307032 358952 538428 614064 717904 1076856 2153712 4743877 9487754 14231631 18975508 28463262 37951016 52182647 56926524 75902032 104365294 113853048 156547941 208730588 227706096 313095882 417461176 626191764 834922352 1252383528 2504767056