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2495252256 = 253722316651
BaseRepresentation
bin1001010010111010…
…1000011100100000
320102220020221121020
42110232220130200
520102241033011
61051333525440
7115556202630
oct22456503440
96386227536
102495252256
111070560a52
125977a3880
13309c59433
141995766c0
15e90de006
hex94ba8720

2495252256 has 96 divisors (see below), whose sum is σ = 7519776768. Its totient is φ = 709689600.

The previous prime is 2495252239. The next prime is 2495252269. The reversal of 2495252256 is 6522525942.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 141531 + ... + 158181.

It is an arithmetic number, because the mean of its divisors is an integer number (78331008).

Almost surely, 22495252256 is an apocalyptic number.

It is a pronic number, being equal to 49952×49953.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2495252256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3759888384).

2495252256 is an abundant number, since it is smaller than the sum of its proper divisors (5024524512).

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

2495252256 is a wasteful number, since it uses less digits than its factorization.

2495252256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16894 (or 16886 counting only the distinct ones).

The product of its digits is 432000, while the sum is 42.

The square root of 2495252256 is about 49952.4999974976. The cubic root of 2495252256 is about 1356.3491065182.

The spelling of 2495252256 in words is "two billion, four hundred ninety-five million, two hundred fifty-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 223 224 336 446 669 672 892 1338 1561 1784 2676 3122 3568 4683 5352 6244 7136 9366 10704 12488 16651 18732 21408 24976 33302 37464 49952 49953 66604 74928 99906 116557 133208 149856 199812 233114 266416 349671 399624 466228 532832 699342 799248 932456 1398684 1598496 1864912 2797368 3713173 3729824 5594736 7426346 11139519 11189472 14852692 22279038 25992211 29705384 44558076 51984422 59410768 77976633 89116152 103968844 118821536 155953266 178232304 207937688 311906532 356464608 415875376 623813064 831750752 1247626128 2495252256