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2520288344 = 2372311571321
BaseRepresentation
bin1001011000111000…
…1000110001011000
320111122100220122202
42112032020301120
520130143211334
61054030305332
7116312045300
oct22616106130
96448326582
102520288344
111083700a32
125a4058248
133121b3ba2
1419ca12600
15eb3d717e
hex96388c58

2520288344 has 96 divisors (see below), whose sum is σ = 5714847360. Its totient is φ = 1037836800.

The previous prime is 2520288343. The next prime is 2520288373. The reversal of 2520288344 is 4438820252.

It is a junction number, because it is equal to n+sod(n) for n = 2520288298 and 2520288307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2520288343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1907204 + ... + 1908524.

It is an arithmetic number, because the mean of its divisors is an integer number (59529660).

Almost surely, 22520288344 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 2520288344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2857423680).

2520288344 is an abundant number, since it is smaller than the sum of its proper divisors (3194559016).

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

2520288344 is a wasteful number, since it uses less digits than its factorization.

2520288344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1529 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 38.

The square root of 2520288344 is about 50202.4734848792. The cubic root of 2520288344 is about 1360.8703238339.

The spelling of 2520288344 in words is "two billion, five hundred twenty million, two hundred eighty-eight thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 28 31 49 56 62 98 124 157 196 217 248 314 392 434 628 868 1099 1256 1321 1519 1736 2198 2642 3038 4396 4867 5284 6076 7693 8792 9247 9734 10568 12152 15386 18494 19468 30772 34069 36988 38936 40951 61544 64729 68138 73976 81902 129458 136276 163804 207397 238483 258916 272552 286657 327608 414794 476966 517832 573314 829588 953932 1146628 1451779 1659176 1907864 2006599 2293256 2903558 4013198 5807116 6429307 8026396 10162453 11614232 12858614 16052792 20324906 25717228 40649812 45005149 51434456 81299624 90010298 180020596 315036043 360041192 630072086 1260144172 2520288344