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5104294832 = 247132318699
BaseRepresentation
bin1001100000011110…
…10101101110110000
3111011201122001011202
410300033111232300
540423144413312
62202254430332
7240326535020
oct46017255660
914151561152
105104294832
11218a27228a
12ba55023a8
13634647200
14365c8da80
151ed1a89c2
hex1303d5bb0

5104294832 has 120 divisors (see below), whose sum is σ = 12634905600. Its totient is φ = 1953918720.

The previous prime is 5104294823. The next prime is 5104294841. The reversal of 5104294832 is 2384924015.

It is an interprime number because it is at equal distance from previous prime (5104294823) and next prime (5104294841).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 582419 + ... + 591117.

It is an arithmetic number, because the mean of its divisors is an integer number (105290880).

Almost surely, 25104294832 is an apocalyptic number.

5104294832 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5104294832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6317452800).

5104294832 is an abundant number, since it is smaller than the sum of its proper divisors (7530610768).

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

5104294832 is a wasteful number, since it uses less digits than its factorization.

5104294832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8771 (or 8752 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 5104294832 is about 71444.3477960293. The cubic root of 5104294832 is about 1721.7836679661.

The spelling of 5104294832 in words is "five billion, one hundred four million, two hundred ninety-four thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 52 56 62 91 104 112 124 169 182 208 217 248 338 364 403 434 496 676 728 806 868 1183 1352 1456 1612 1736 2366 2704 2821 3224 3472 4732 5239 5642 6448 8699 9464 10478 11284 17398 18928 20956 22568 34796 36673 41912 45136 60893 69592 73346 83824 113087 121786 139184 146692 226174 243572 269669 293384 452348 487144 539338 586768 791609 904696 974288 1078676 1470131 1583218 1809392 1887683 2157352 2940262 3166436 3505697 3775366 4314704 5880524 6332872 7011394 7550732 10290917 11761048 12665744 14022788 15101464 20581834 23522096 24539879 28045576 30202928 41163668 45574061 49079758 56091152 82327336 91148122 98159516 164654672 182296244 196319032 319018427 364592488 392638064 638036854 729184976 1276073708 2552147416 5104294832