Search a number
-
+
4902049152 = 2733711132109
BaseRepresentation
bin1001001000010111…
…10101010110000000
3110122122001220021000
410210023311112000
540014411033102
62130231532000
7232322505330
oct44413652600
913578056230
104902049152
1120960960a0
12b4982a000
13601784a00
143470850c0
151da55901c
hex1242f5580

4902049152 has 768 divisors, whose sum is σ = 19711296000. Its totient is φ = 1164533760.

The previous prime is 4902049111. The next prime is 4902049157. The reversal of 4902049152 is 2519402094.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4902049157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44972874 + ... + 44972982.

It is an arithmetic number, because the mean of its divisors is an integer number (25665750).

Almost surely, 24902049152 is an apocalyptic number.

4902049152 is a gapful number since it is divisible by the number (42) 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 4902049152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9855648000).

4902049152 is an abundant number, since it is smaller than the sum of its proper divisors (14809246848).

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

4902049152 is a wasteful number, since it uses less digits than its factorization.

4902049152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 4902049152 is about 70014.6352700634. The cubic root of 4902049152 is about 1698.7359868051.

The spelling of 4902049152 in words is "four billion, nine hundred two million, forty-nine thousand, one hundred fifty-two".