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8138826240 = 29351059743
BaseRepresentation
bin1111001010001110…
…01010001000000000
3210000012122012200220
413211013022020000
5113132014414430
63423335143040
7405454611246
oct74507121000
923005565626
108138826240
1134a7178686
1216b1814a80
139c922c11c
14572cc4796
153297be110
hex1e51ca200

8138826240 has 80 divisors (see below), whose sum is σ = 26018834688. Its totient is φ = 2170351616.

The previous prime is 8138826229. The next prime is 8138826259. The reversal of 8138826240 is 426288318.

It is a happy number.

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 = 8138826192 and 8138826201.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 522192 + ... + 537551.

Almost surely, 28138826240 is an apocalyptic number.

8138826240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8138826240 is an abundant number, since it is smaller than the sum of its proper divisors (17880008448).

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

8138826240 is a wasteful number, since it uses less digits than its factorization.

8138826240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1059769 (or 1059753 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 8138826240 is about 90215.4434672911. The cubic root of 8138826240 is about 2011.5025719282.

The spelling of 8138826240 in words is "eight billion, one hundred thirty-eight million, eight hundred twenty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 7680 1059743 2119486 3179229 4238972 5298715 6358458 8477944 10597430 12716916 15896145 16955888 21194860 25433832 31792290 33911776 42389720 50867664 63584580 67823552 84779440 101735328 127169160 135647104 169558880 203470656 254338320 271294208 339117760 406941312 508676640 542588416 678235520 813882624 1017353280 1356471040 1627765248 2034706560 2712942080 4069413120 8138826240