Search a number
-
+
4993920 = 27335172
BaseRepresentation
bin10011000011001110000000
3100101201101000
4103003032000
52234301140
6255012000
760306351
oct23031600
910351330
104993920
112901008
12180a000
13105b0a9
1493dd28
15689a30
hex4c3380

4993920 has 192 divisors, whose sum is σ = 18788400. Its totient is φ = 1253376.

The previous prime is 4993913. The next prime is 4993931. The reversal of 4993920 is 293994.

4993920 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 293752 + ... + 293768.

Almost surely, 24993920 is an apocalyptic number.

4993920 is a gapful number since it is divisible by the number (40) 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 4993920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9394200).

4993920 is an abundant number, since it is smaller than the sum of its proper divisors (13794480).

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

4993920 is a wasteful number, since it uses less digits than its factorization.

4993920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 4993920 is about 2234.7080346211. The cubic root of 4993920 is about 170.9282555296.

The spelling of 4993920 in words is "four million, nine hundred ninety-three thousand, nine hundred twenty".