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4930464 = 2537112329
BaseRepresentation
bin10010110011101110100000
3100021111022210
4102303232200
52230233324
6253402120
756623350
oct22635640
910244283
104930464
112868370
121799340
131038246
14924b60
15675d29
hex4b3ba0

4930464 has 192 divisors, whose sum is σ = 17418240. Its totient is φ = 1182720.

The previous prime is 4930451. The next prime is 4930483. The reversal of 4930464 is 4640394.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a d-powerful number, because it can be written as 47 + 97 + 3 + 0 + 48 + 62 + 48 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 170002 + ... + 170030.

It is an arithmetic number, because the mean of its divisors is an integer number (90720).

Almost surely, 24930464 is an apocalyptic number.

4930464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4930464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8709120).

4930464 is an abundant number, since it is smaller than the sum of its proper divisors (12487776).

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

4930464 is a wasteful number, since it uses less digits than its factorization.

4930464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 4930464 is about 2220.4648162040. The cubic root of 4930464 is about 170.2011920180.

The spelling of 4930464 in words is "four million, nine hundred thirty thousand, four hundred sixty-four".