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73254464 = 262921361
BaseRepresentation
bin1000101110111…
…00011001000000
312002211201020022
410113130121000
5122223120324
611134033012
71546436603
oct427343100
9162751208
1073254464
1138394188
1220648768
131223ac4a
149a2c33a
15667005e
hex45dc640

73254464 has 42 divisors (see below), whose sum is σ = 150660354. Its totient is φ = 35338240.

The previous prime is 73254451. The next prime is 73254469. The reversal of 73254464 is 46445237.

It can be written as a sum of positive squares in 3 ways, for example, as 4032064 + 69222400 = 2008^2 + 8320^2 .

It is not an unprimeable number, because it can be changed into a prime (73254469) 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 5 ways as a sum of consecutive naturals, for example, 53144 + ... + 54504.

Almost surely, 273254464 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 73254464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75330177).

73254464 is an abundant number, since it is smaller than the sum of its proper divisors (77405890).

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

73254464 is a wasteful number, since it uses less digits than its factorization.

73254464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1431 (or 1392 counting only the distinct ones).

The product of its digits is 80640, while the sum is 35.

The square root of 73254464 is about 8558.8821700033. The cubic root of 73254464 is about 418.4189689750.

The spelling of 73254464 in words is "seventy-three million, two hundred fifty-four thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 464 841 928 1361 1682 1856 2722 3364 5444 6728 10888 13456 21776 26912 39469 43552 53824 78938 87104 157876 315752 631504 1144601 1263008 2289202 2526016 4578404 9156808 18313616 36627232 73254464