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8243625840 = 2435291184429
BaseRepresentation
bin1111010110101101…
…11011111101110000
3210021111211120201120
413223112323331300
5113340332011330
63442001302240
7411166443402
oct75326737560
923244746646
108243625840
11355034811a
121720934980
13a14b63418
14582ba4b72
15333ac0c10
hex1eb5bbf70

8243625840 has 80 divisors (see below), whose sum is σ = 26436477600. Its totient is φ = 2122494976.

The previous prime is 8243625829. The next prime is 8243625851. The reversal of 8243625840 is 485263428.

It is an interprime number because it is at equal distance from previous prime (8243625829) and next prime (8243625851).

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

It is a junction number, because it is equal to n+sod(n) for n = 8243625792 and 8243625801.

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, 585255 + ... + 599174.

It is an arithmetic number, because the mean of its divisors is an integer number (330455970).

Almost surely, 28243625840 is an apocalyptic number.

8243625840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8243625840 is an abundant number, since it is smaller than the sum of its proper divisors (18192851760).

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

8243625840 is a wasteful number, since it uses less digits than its factorization.

8243625840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184474 (or 1184468 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The square root of 8243625840 is about 90794.4152467540. The cubic root of 8243625840 is about 2020.0994820790.

The spelling of 8243625840 in words is "eight billion, two hundred forty-three million, six hundred twenty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 290 348 435 464 580 696 870 1160 1392 1740 2320 3480 6960 1184429 2368858 3553287 4737716 5922145 7106574 9475432 11844290 14213148 17766435 18950864 23688580 28426296 34348441 35532870 47377160 56852592 68696882 71065740 94754320 103045323 137393764 142131480 171742205 206090646 274787528 284262960 343484410 412181292 515226615 549575056 686968820 824362584 1030453230 1373937640 1648725168 2060906460 2747875280 4121812920 8243625840