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65045376 = 2733112959
BaseRepresentation
bin1111100000100…
…0001110000000
311112101122111000
43320020032000
5113122423001
610242052000
71416606444
oct370101600
9145348430
1065045376
1133797610
121994a000
13106255b6
1488d2824
155a9ca86
hex3e08380

65045376 has 256 divisors, whose sum is σ = 220320000. Its totient is φ = 18708480.

The previous prime is 65045359. The next prime is 65045377. The reversal of 65045376 is 67354056.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 65045376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65045377) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1102435 + ... + 1102493.

It is an arithmetic number, because the mean of its divisors is an integer number (860625).

Almost surely, 265045376 is an apocalyptic number.

65045376 is a gapful number since it is divisible by the number (66) 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 65045376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110160000).

65045376 is an abundant number, since it is smaller than the sum of its proper divisors (155274624).

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

65045376 is a wasteful number, since it uses less digits than its factorization.

65045376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 65045376 is about 8065.0713574029. The cubic root of 65045376 is about 402.1661153533.

The spelling of 65045376 in words is "sixty-five million, forty-five thousand, three hundred seventy-six".