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5185237032 = 2338223443
BaseRepresentation
bin1001101010001000…
…00111000000101000
3111101100221100000000
410311010013000220
541104410041112
62214305343000
7242331534063
oct46504070050
914340840000
105185237032
112220a27368
121008637a60
136483473c1
1437291d8da
152053467dc
hex135107028

5185237032 has 144 divisors (see below), whose sum is σ = 14681197440. Its totient is φ = 1716777504.

The previous prime is 5185237027. The next prime is 5185237049. The reversal of 5185237032 is 2307325815.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11704603 + ... + 11705045.

It is an arithmetic number, because the mean of its divisors is an integer number (101952760).

Almost surely, 25185237032 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 5185237032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7340598720).

5185237032 is an abundant number, since it is smaller than the sum of its proper divisors (9495960408).

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

5185237032 is an equidigital number, since it uses as much as digits as its factorization.

5185237032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 671 counting only the distinct ones).

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

The square root of 5185237032 is about 72008.5899875841. The cubic root of 5185237032 is about 1730.8371361419.

The spelling of 5185237032 in words is "five billion, one hundred eighty-five million, two hundred thirty-seven thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 223 243 324 443 446 486 648 669 729 886 892 972 1329 1338 1458 1772 1784 1944 2007 2187 2658 2676 2916 3544 3987 4014 4374 5316 5352 5832 6021 6561 7974 8028 8748 10632 11961 12042 13122 15948 16056 17496 18063 23922 24084 26244 31896 35883 36126 47844 48168 52488 54189 71766 72252 95688 98789 107649 108378 143532 144504 162567 197578 215298 216756 287064 296367 322947 325134 395156 430596 433512 487701 592734 645894 650268 790312 861192 889101 968841 975402 1185468 1291788 1300536 1463103 1778202 1937682 1950804 2370936 2583576 2667303 2906523 2926206 3556404 3875364 3901608 5334606 5813046 5852412 7112808 7750728 8001909 10669212 11626092 11704824 16003818 21338424 23252184 24005727 32007636 48011454 64015272 72017181 96022908 144034362 192045816 216051543 288068724 432103086 576137448 648154629 864206172 1296309258 1728412344 2592618516 5185237032