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64424448 = 2932113141
BaseRepresentation
bin1111010111000…
…0101000000000
311111020002201200
43311300220000
5112443040243
610220501200
71411412244
oct365605000
9144202650
1064424448
1133403050
12196aa800
1310468a9a
1487b0424
1559c8ad3
hex3d70a00

64424448 has 240 divisors, whose sum is σ = 214486272. Its totient is φ = 18432000.

The previous prime is 64424447. The next prime is 64424467. The reversal of 64424448 is 84442446.

64424448 is a `hidden beast` number, since 644 + 2 + 4 + 4 + 4 + 8 = 666.

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 (64424447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1571308 + ... + 1571348.

Almost surely, 264424448 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 64424448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107243136).

64424448 is an abundant number, since it is smaller than the sum of its proper divisors (150061824).

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

64424448 is a wasteful number, since it uses less digits than its factorization.

64424448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 88 counting only the distinct ones).

The product of its digits is 98304, while the sum is 36.

The square root of 64424448 is about 8026.4841618233. The cubic root of 64424448 is about 400.8823190186.

The spelling of 64424448 in words is "sixty-four million, four hundred twenty-four thousand, four hundred forty-eight".