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5139432 = 2332411741
BaseRepresentation
bin10011100110101111101000
3100200002222100
4103212233220
52303430212
6302053400
761453524
oct23465750
910602870
105139432
1129a0371
12187a260
1310ac3ac
1497ad84
156b7bdc
hex4e6be8

5139432 has 48 divisors (see below), whose sum is σ = 14266980. Its totient is φ = 1670400.

The previous prime is 5139427. The next prime is 5139451. The reversal of 5139432 is 2349315.

It can be written as a sum of positive squares in 2 ways, for example, as 3218436 + 1920996 = 1794^2 + 1386^2 .

It is a super-2 number, since 2×51394322 = 52827522565248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5139396 and 5139405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2082 + ... + 3822.

Almost surely, 25139432 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 5139432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7133490).

5139432 is an abundant number, since it is smaller than the sum of its proper divisors (9127548).

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

5139432 is a wasteful number, since it uses less digits than its factorization.

5139432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1794 (or 1787 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 5139432 is about 2267.0315392601. The cubic root of 5139432 is about 172.5725466751.

The spelling of 5139432 in words is "five million, one hundred thirty-nine thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 984 1476 1741 2952 3482 5223 6964 10446 13928 15669 20892 31338 41784 62676 71381 125352 142762 214143 285524 428286 571048 642429 856572 1284858 1713144 2569716 5139432