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4942432 = 251119739
BaseRepresentation
bin10010110110101001100000
3100022002202001
4102312221200
52231124212
6253533344
760003265
oct22665140
910262661
104942432
112876360
1217a4254
131040821
1492926c
15679657
hex4b6a60

4942432 has 48 divisors (see below), whose sum is σ = 11188800. Its totient is φ = 2125440.

The previous prime is 4942411. The next prime is 4942501. The reversal of 4942432 is 2342494.

It is a d-powerful number, because it can be written as 4 + 97 + 44 + 213 + 44 + 39 + 217 .

It is a self number, because there is not a number n which added to its sum of digits gives 4942432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6319 + ... + 7057.

It is an arithmetic number, because the mean of its divisors is an integer number (233100).

Almost surely, 24942432 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 4942432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5594400).

4942432 is an abundant number, since it is smaller than the sum of its proper divisors (6246368).

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

4942432 is a wasteful number, since it uses less digits than its factorization.

4942432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 771 counting only the distinct ones).

The product of its digits is 6912, while the sum is 28.

The square root of 4942432 is about 2223.1581140351. The cubic root of 4942432 is about 170.3387938025.

It can be divided in two parts, 494 and 2432, that added together give a triangular number (2926 = T76).

The spelling of 4942432 in words is "four million, nine hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 76 88 152 176 209 304 352 418 608 739 836 1478 1672 2956 3344 5912 6688 8129 11824 14041 16258 23648 28082 32516 56164 65032 112328 130064 154451 224656 260128 308902 449312 617804 1235608 2471216 4942432