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4681152 = 2635743
BaseRepresentation
bin10001110110110111000000
322210211100000
4101312313000
52144244102
6244200000
754534450
oct21666700
98724300
104681152
112708023
121699000
13c7b918
1489bd60
1562701c
hex476dc0

4681152 has 168 divisors, whose sum is σ = 16272256. Its totient is φ = 1306368.

The previous prime is 4681147. The next prime is 4681169. The reversal of 4681152 is 2511864.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 108843 + ... + 108885.

Almost surely, 24681152 is an apocalyptic number.

4681152 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 4681152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8136128).

4681152 is an abundant number, since it is smaller than the sum of its proper divisors (11591104).

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

4681152 is an equidigital number, since it uses as much as digits as its factorization.

4681152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 55 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 4681152 is about 2163.5970049896. The cubic root of 4681152 is about 167.2826556517.

The spelling of 4681152 in words is "four million, six hundred eighty-one thousand, one hundred fifty-two".