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5326372324 = 22721324012
BaseRepresentation
bin1001111010111100…
…11111110111100100
3111202012111202020001
410331132133313210
541402022403244
62240310351044
7245664263200
oct47536376744
914665452201
105326372324
1122936643a9
12104795b484
1366b661400
1438757bb00
152129245d4
hex13d79fde4

5326372324 has 81 divisors (see below), whose sum is σ = 11770559451. Its totient is φ = 2101881600.

The previous prime is 5326372313. The next prime is 5326372327. The reversal of 5326372324 is 4232736235.

The square root of 5326372324 is 72982.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 449864100 + 4876508224 = 21210^2 + 69832^2 .

It is a super-3 number, since 3×53263723243 (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (5326372327) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13282524 + ... + 13282924.

Almost surely, 25326372324 is an apocalyptic number.

5326372324 is the 72982-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5326372324

5326372324 is an abundant number, since it is smaller than the sum of its proper divisors (6444187127).

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

5326372324 is a wasteful number, since it uses less digits than its factorization.

5326372324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 423 counting only the distinct ones).

The product of its digits is 181440, while the sum is 37.

The cubic root of 5326372324 is about 1746.4004733091.

The spelling of 5326372324 in words is "five billion, three hundred twenty-six million, three hundred seventy-two thousand, three hundred twenty-four".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 169 182 196 338 364 401 637 676 802 1183 1274 1604 2366 2548 2807 4732 5213 5614 8281 10426 11228 16562 19649 20852 33124 36491 39298 67769 72982 78596 135538 145964 160801 255437 271076 321602 474383 510874 643204 948766 1021748 1125607 1897532 2090413 2251214 3320681 4180826 4502428 6641362 7879249 8361652 13282724 14632891 15758498 27175369 29265782 31516996 54350738 58531564 102430237 108701476 190227583 204860474 380455166 409720948 760910332 1331593081 2663186162 5326372324