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64424080 = 2457293967
BaseRepresentation
bin1111010111000…
…0100010010000
311111020002020001
43311300202100
5112443032310
610220455344
71411411210
oct365604220
9144202201
1064424080
1133402846
12196aa554
1310468876
1487b0240
1559c893a
hex3d70890

64424080 has 80 divisors (see below), whose sum is σ = 177131520. Its totient is φ = 21321216.

The previous prime is 64424057. The next prime is 64424083. The reversal of 64424080 is 8042446.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64424083) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 14257 + ... + 18223.

It is an arithmetic number, because the mean of its divisors is an integer number (2214144).

Almost surely, 264424080 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 64424080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88565760).

64424080 is an abundant number, since it is smaller than the sum of its proper divisors (112707440).

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

64424080 is a wasteful number, since it uses less digits than its factorization.

64424080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4016 (or 4010 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 64424080 is about 8026.4612376813. The cubic root of 64424080 is about 400.8815557215.

The spelling of 64424080 in words is "sixty-four million, four hundred twenty-four thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 35 40 56 58 70 80 112 116 140 145 203 232 280 290 406 464 560 580 812 1015 1160 1624 2030 2320 3248 3967 4060 7934 8120 15868 16240 19835 27769 31736 39670 55538 63472 79340 111076 115043 138845 158680 222152 230086 277690 317360 444304 460172 555380 575215 805301 920344 1110760 1150430 1610602 1840688 2221520 2300860 3221204 4026505 4601720 6442408 8053010 9203440 12884816 16106020 32212040 64424080