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2463725280 = 253514233607
BaseRepresentation
bin1001001011011001…
…0111011011100000
320100200221012201110
42102312113123200
520021203202110
61044250103320
7115024214352
oct22266273340
96320835643
102463725280
1110547882a5
1258911ab40
1330356b413
141952cb0d2
15e6462a20
hex92d976e0

2463725280 has 96 divisors (see below), whose sum is σ = 7768341504. Its totient is φ = 656349696.

The previous prime is 2463725263. The next prime is 2463725311. The reversal of 2463725280 is 825273642.

2463725280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×24637252802 = 12139884510622156800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 681237 + ... + 684843.

It is an arithmetic number, because the mean of its divisors is an integer number (80920224).

Almost surely, 22463725280 is an apocalyptic number.

2463725280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2463725280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3884170752).

2463725280 is an abundant number, since it is smaller than the sum of its proper divisors (5304616224).

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

2463725280 is a wasteful number, since it uses less digits than its factorization.

2463725280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5048 (or 5040 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 2463725280 is about 49635.9273107696. The cubic root of 2463725280 is about 1350.6124847669.

The spelling of 2463725280 in words is "two billion, four hundred sixty-three million, seven hundred twenty-five thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1423 2846 3607 4269 5692 7115 7214 8538 10821 11384 14230 14428 17076 18035 21345 21642 22768 28460 28856 34152 36070 42690 43284 45536 54105 56920 57712 68304 72140 85380 86568 108210 113840 115424 136608 144280 170760 173136 216420 227680 288560 341520 346272 432840 577120 683040 865680 1731360 5132761 10265522 15398283 20531044 25663805 30796566 41062088 51327610 61593132 76991415 82124176 102655220 123186264 153982830 164248352 205310440 246372528 307965660 410620880 492745056 615931320 821241760 1231862640 2463725280