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64042224 = 2438831511
BaseRepresentation
bin1111010001001…
…1010011110000
311110111200102020
43310103103300
5112343322344
610204351440
71405231011
oct364232360
9143450366
1064042224
1133171964
1219545580
1310363b0c
148711008
155950719
hex3d134f0

64042224 has 40 divisors (see below), whose sum is σ = 165739392. Its totient is φ = 21309120.

The previous prime is 64042193. The next prime is 64042229. The reversal of 64042224 is 42224046.

64042224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 64042194 and 64042203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64042229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41629 + ... + 43139.

Almost surely, 264042224 is an apocalyptic number.

It is an amenable number.

64042224 is an abundant number, since it is smaller than the sum of its proper divisors (101697168).

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

64042224 is a wasteful number, since it uses less digits than its factorization.

64042224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2405 (or 2399 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 64042224 is about 8002.6385648735. The cubic root of 64042224 is about 400.0879473284.

The spelling of 64042224 in words is "sixty-four million, forty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 883 1511 1766 2649 3022 3532 4533 5298 6044 7064 9066 10596 12088 14128 18132 21192 24176 36264 42384 72528 1334213 2668426 4002639 5336852 8005278 10673704 16010556 21347408 32021112 64042224