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64916424 = 23332711109
BaseRepresentation
bin1111011110100…
…0101111001000
311112011002121000
43313220233020
5113104311144
610235215000
71415531466
oct367505710
9145132530
1064916424
1133709741
12198a7460
13105ab9b1
14889b836
155a74769
hex3de8bc8

64916424 has 64 divisors (see below), whose sum is σ = 181152000. Its totient is φ = 21539520.

The previous prime is 64916399. The next prime is 64916429. The reversal of 64916424 is 42461946.

64916424 is a `hidden beast` number, since 6 + 4 + 9 + 1 + 642 + 4 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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.

It is not an unprimeable number, because it can be changed into a prime (64916429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57982 + ... + 59090.

It is an arithmetic number, because the mean of its divisors is an integer number (2830500).

Almost surely, 264916424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64916424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90576000).

64916424 is an abundant number, since it is smaller than the sum of its proper divisors (116235576).

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

64916424 is a wasteful number, since it uses less digits than its factorization.

64916424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1395 (or 1385 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 64916424 is about 8057.0729176296. The cubic root of 64916424 is about 401.9001757039.

The spelling of 64916424 in words is "sixty-four million, nine hundred sixteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 271 542 813 1084 1109 1626 2168 2218 2439 3252 3327 4436 4878 6504 6654 7317 8872 9756 9981 13308 14634 19512 19962 26616 29268 29943 39924 58536 59886 79848 119772 239544 300539 601078 901617 1202156 1803234 2404312 2704851 3606468 5409702 7212936 8114553 10819404 16229106 21638808 32458212 64916424