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5382432 = 2532111699
BaseRepresentation
bin10100100010000100100000
3101010110022100
4110202010200
52334214212
6311210400
763515136
oct24420440
911113270
105382432
1130469a0
121976a00
131165b93
14a01756
15714bdc
hex522120

5382432 has 72 divisors (see below), whose sum is σ = 16707600. Its totient is φ = 1630080.

The previous prime is 5382413. The next prime is 5382449. The reversal of 5382432 is 2342835.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 5382396 and 5382405.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2319 + ... + 4017.

It is an arithmetic number, because the mean of its divisors is an integer number (232050).

Almost surely, 25382432 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 5382432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8353800).

5382432 is an abundant number, since it is smaller than the sum of its proper divisors (11325168).

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

5382432 is a wasteful number, since it uses less digits than its factorization.

5382432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1726 (or 1715 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 5382432 is about 2320.0068965415. The cubic root of 5382432 is about 175.2506015094.

The spelling of 5382432 in words is "five million, three hundred eighty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 1699 3168 3398 5097 6796 10194 13592 15291 18689 20388 27184 30582 37378 40776 54368 56067 61164 74756 81552 112134 122328 149512 163104 168201 224268 244656 299024 336402 448536 489312 598048 672804 897072 1345608 1794144 2691216 5382432