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64463040 = 26355829
BaseRepresentation
bin1111010111101…
…0000011000000
311111022001200000
43311322003000
5113000304130
610221400000
71411632615
oct365720300
9144261600
1064463040
113342a044
1219709000
1310480515
1487c050c
1559d5260
hex3d7a0c0

64463040 has 168 divisors, whose sum is σ = 230215440. Its totient is φ = 17169408.

The previous prime is 64463039. The next prime is 64463051. The reversal of 64463040 is 4036446.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 64462995 and 64463013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77346 + ... + 78174.

It is an arithmetic number, because the mean of its divisors is an integer number (1370330).

Almost surely, 264463040 is an apocalyptic number.

64463040 is a gapful number since it is divisible by the number (60) 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 64463040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115107720).

64463040 is an abundant number, since it is smaller than the sum of its proper divisors (165752400).

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

64463040 is an equidigital number, since it uses as much as digits as its factorization.

64463040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 64463040 is about 8028.8878432819. The cubic root of 64463040 is about 400.9623495184.

Adding to 64463040 its reverse (4036446), we get a palindrome (68499486).

The spelling of 64463040 in words is "sixty-four million, four hundred sixty-three thousand, forty".