Search a number
-
+
5432328 = 233211193
BaseRepresentation
bin10100101110010000001000
3101012222202100
4110232100020
52342313303
6312233400
764113456
oct24562010
911188670
105432328
113080430
12199b860
1311827c5
14a159d6
157248a3
hex52e408

5432328 has 96 divisors (see below), whose sum is σ = 16941600. Its totient is φ = 1559520.

The previous prime is 5432327. The next prime is 5432351. The reversal of 5432328 is 8232345.

Its product of digits (5760) is a multiple of the sum of its prime factors (80).

It is not an unprimeable number, because it can be changed into a prime (5432321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 285903 + ... + 285921.

It is an arithmetic number, because the mean of its divisors is an integer number (176475).

Almost surely, 25432328 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 5432328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8470800).

5432328 is an abundant number, since it is smaller than the sum of its proper divisors (11509272).

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

5432328 is a wasteful number, since it uses less digits than its factorization.

5432328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 35 counting only the distinct ones).

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

The square root of 5432328 is about 2330.7355062297. The cubic root of 5432328 is about 175.7904703489.

The spelling of 5432328 in words is "five million, four hundred thirty-two thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 19 22 24 33 36 38 44 57 66 72 76 88 99 114 132 152 171 198 209 228 264 342 361 396 418 456 627 684 722 792 836 1083 1254 1368 1444 1672 1881 2166 2508 2888 3249 3762 3971 4332 5016 6498 6859 7524 7942 8664 11913 12996 13718 15048 15884 20577 23826 25992 27436 31768 35739 41154 47652 54872 61731 71478 75449 82308 95304 123462 142956 150898 164616 226347 246924 285912 301796 452694 493848 603592 679041 905388 1358082 1810776 2716164 5432328