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5082500736 = 27336472273
BaseRepresentation
bin1001011101111000…
…01100111010000000
3111010012121210022000
410232330030322000
540402110010421
62200155344000
7236643354255
oct45674147200
914105553260
105082500736
112178a37035
12b9a152000
1362cc862b1
1436301942c
151eb301226
hex12ef0ce80

5082500736 has 128 divisors (see below), whose sum is σ = 15030230400. Its totient is φ = 1690804224.

The previous prime is 5082500729. The next prime is 5082500743. The reversal of 5082500736 is 6370052805.

5082500736 is a `hidden beast` number, since 5 + 0 + 82 + 500 + 73 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (5082500729) and next prime (5082500743).

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5082500736.

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, 2234896 + ... + 2237168.

It is an arithmetic number, because the mean of its divisors is an integer number (117423675).

Almost surely, 25082500736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5082500736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7515115200).

5082500736 is an abundant number, since it is smaller than the sum of its proper divisors (9947729664).

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

5082500736 is a wasteful number, since it uses less digits than its factorization.

5082500736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2943 (or 2925 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 5082500736 is about 71291.6596524446. The cubic root of 5082500736 is about 1719.3296396120.

The spelling of 5082500736 in words is "five billion, eighty-two million, five hundred thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 647 864 1152 1294 1728 1941 2273 2588 3456 3882 4546 5176 5823 6819 7764 9092 10352 11646 13638 15528 17469 18184 20457 20704 23292 27276 31056 34938 36368 40914 41408 46584 54552 61371 62112 69876 72736 81828 82816 93168 109104 122742 124224 139752 145472 163656 186336 218208 245484 248448 279504 290944 327312 372672 436416 490968 559008 654624 745344 872832 981936 1118016 1309248 1470631 1963872 2236032 2618496 2941262 3927744 4411893 5882524 7855488 8823786 11765048 13235679 17647572 23530096 26471358 35295144 39707037 47060192 52942716 70590288 79414074 94120384 105885432 141180576 158828148 188240768 211770864 282361152 317656296 423541728 564722304 635312592 847083456 1270625184 1694166912 2541250368 5082500736