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64423104 = 263421797
BaseRepresentation
bin1111010111000…
…0010011000000
311111020000212220
43311300103000
5112443014404
610220451040
71411405314
oct365602300
9144200786
1064423104
1133402039
12196a9a80
13104682a5
1487adb44
1559c84d9
hex3d704c0

64423104 has 56 divisors (see below), whose sum is σ = 171072048. Its totient is φ = 21396480.

The previous prime is 64423087. The next prime is 64423127. The reversal of 64423104 is 40132446.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 7 ways as a sum of consecutive naturals, for example, 80434 + ... + 81230.

It is an arithmetic number, because the mean of its divisors is an integer number (3054858).

Almost surely, 264423104 is an apocalyptic number.

64423104 is a gapful number since it is divisible by the number (64) 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 64423104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85536024).

64423104 is an abundant number, since it is smaller than the sum of its proper divisors (106648944).

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

64423104 is a wasteful number, since it uses less digits than its factorization.

64423104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 64423104 is about 8026.4004385528. The cubic root of 64423104 is about 400.8795313109.

The spelling of 64423104 in words is "sixty-four million, four hundred twenty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 421 797 842 1263 1594 1684 2391 2526 3188 3368 4782 5052 6376 6736 9564 10104 12752 13472 19128 20208 25504 26944 38256 40416 51008 76512 80832 153024 335537 671074 1006611 1342148 2013222 2684296 4026444 5368592 8052888 10737184 16105776 21474368 32211552 64423104