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2625397840 = 245132987049
BaseRepresentation
bin1001110001111100…
…0110010001010000
320202222011000210001
42130133012101100
520334100212330
61112303215344
7122026341052
oct23437062120
96688130701
102625397840
111127a7228a
126132a7554
1332abc6260
141ac9738d2
1510574a9ca
hex9c7c6450

2625397840 has 80 divisors (see below), whose sum is σ = 6800346000. Its totient is φ = 935940096.

The previous prime is 2625397823. The next prime is 2625397861. The reversal of 2625397840 is 487935262.

It can be written as a sum of positive squares in 8 ways, for example, as 86044176 + 2539353664 = 9276^2 + 50392^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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, 13365 + ... + 73684.

It is an arithmetic number, because the mean of its divisors is an integer number (85004325).

Almost surely, 22625397840 is an apocalyptic number.

2625397840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2625397840 is an abundant number, since it is smaller than the sum of its proper divisors (4174948160).

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

2625397840 is a wasteful number, since it uses less digits than its factorization.

2625397840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87104 (or 87098 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 46.

The square root of 2625397840 is about 51238.6362035525. The cubic root of 2625397840 is about 1379.5317742190.

The spelling of 2625397840 in words is "two billion, six hundred twenty-five million, three hundred ninety-seven thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 29 40 52 58 65 80 104 116 130 145 208 232 260 290 377 464 520 580 754 1040 1160 1508 1885 2320 3016 3770 6032 7540 15080 30160 87049 174098 348196 435245 696392 870490 1131637 1392784 1740980 2263274 2524421 3481960 4526548 5048842 5658185 6963920 9053096 10097684 11316370 12622105 18106192 20195368 22632740 25244210 32817473 40390736 45265480 50488420 65634946 90530960 100976840 131269892 164087365 201953680 262539784 328174730 525079568 656349460 1312698920 2625397840