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5082383232 = 27342321313
BaseRepresentation
bin1001011101110111…
…10000001110000000
3111010012101211010000
410232323300032000
540402042230412
62200153040000
7236642354553
oct45673601600
914105354100
105082383232
112178966823
12b9a0b6000
1362cc44974
14362dc869a
151eb2cb4dc
hex12eef0380

5082383232 has 160 divisors (see below), whose sum is σ = 15783443280. Its totient is φ = 1620393984.

The previous prime is 5082383231. The next prime is 5082383261. The reversal of 5082383232 is 2323832805.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5082383231) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 227808 + ... + 249120.

Almost surely, 25082383232 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 5082383232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7891721640).

5082383232 is an abundant number, since it is smaller than the sum of its proper divisors (10701060048).

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

5082383232 is a wasteful number, since it uses less digits than its factorization.

5082383232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21362 (or 21341 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 5082383232 is about 71290.8355400608. The cubic root of 5082383232 is about 1719.3163895948.

The spelling of 5082383232 in words is "five billion, eighty-two million, three hundred eighty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 81 92 96 108 128 138 144 162 184 192 207 216 276 288 324 368 384 414 432 552 576 621 648 736 828 864 1104 1152 1242 1296 1472 1656 1728 1863 2208 2484 2592 2944 3312 3456 3726 4416 4968 5184 6624 7452 8832 9936 10368 13248 14904 19872 21313 26496 29808 39744 42626 59616 63939 79488 85252 119232 127878 170504 191817 238464 255756 341008 383634 490199 511512 575451 682016 767268 980398 1023024 1150902 1364032 1470597 1534536 1726353 1960796 2046048 2301804 2728064 2941194 3069072 3452706 3921592 4092096 4411791 4603608 5882388 6138144 6905412 7843184 8184192 8823582 9207216 11764776 12276288 13235373 13810824 15686368 17647164 18414432 23529552 24552576 26470746 27621648 31372736 35294328 36828864 39706119 47059104 52941492 55243296 62745472 70588656 73657728 79412238 94118208 105882984 110486592 141177312 158824476 188236416 211765968 220973184 282354624 317648952 423531936 564709248 635297904 847063872 1270595808 1694127744 2541191616 5082383232