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4930432 = 27132963
BaseRepresentation
bin10010110011101110000000
3100021111021121
4102303232000
52230233212
6253402024
756623303
oct22635600
910244247
104930432
112868341
121799314
131038220
14924b3a
15675d07
hex4b3b80

4930432 has 32 divisors (see below), whose sum is σ = 10581480. Its totient is φ = 2274816.

The previous prime is 4930421. The next prime is 4930433. The reversal of 4930432 is 2340394.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 4930397 and 4930406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4930433) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 183 + ... + 3145.

Almost surely, 24930432 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 4930432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5290740).

4930432 is an abundant number, since it is smaller than the sum of its proper divisors (5651048).

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

4930432 is a wasteful number, since it uses less digits than its factorization.

4930432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2990 (or 2978 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 4930432 is about 2220.4576104938. The cubic root of 4930432 is about 170.2008238005.

The spelling of 4930432 in words is "four million, nine hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 2963 5926 11852 23704 38519 47408 77038 94816 154076 189632 308152 379264 616304 1232608 2465216 4930432