Search a number
-
+
41399424 = 2735113
BaseRepresentation
bin1001110111101…
…1010010000000
32212220022100000
42131323102000
541044240144
64035200000
71011614013
oct235732200
985808300
1041399424
1121407000
1211a46000
138766801
1456d937a
15397b769
hex277b480

41399424 has 192 divisors, whose sum is σ = 135888480. Its totient is φ = 12545280.

The previous prime is 41399417. The next prime is 41399473. The reversal of 41399424 is 42499314.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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 a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (31104) is a multiple of the sum of its prime divisors (16).

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, 3763579 + ... + 3763589.

Almost surely, 241399424 is an apocalyptic number.

41399424 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 41399424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67944240).

41399424 is an abundant number, since it is smaller than the sum of its proper divisors (94489056).

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

41399424 is an frugal number, since it uses more digits than its factorization.

41399424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 16 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 41399424 is about 6434.2384164717. The cubic root of 41399424 is about 345.9378640356.

41399424 divided by its product of digits (31104) gives a palindrome (1331).

The spelling of 41399424 in words is "forty-one million, three hundred ninety-nine thousand, four hundred twenty-four".