Search a number
-
+
73077056 = 261387833
BaseRepresentation
bin1000101101100…
…01000101000000
312002111200212122
410112301011000
5122201431211
611130143412
71545100433
oct426610500
9162450778
1073077056
1138282968
1220581b68
13121a8280
1499c381a
1566376db
hex45b1140

73077056 has 28 divisors (see below), whose sum is σ = 156168852. Its totient is φ = 33727488.

The previous prime is 73077031. The next prime is 73077073. The reversal of 73077056 is 65077037.

It can be written as a sum of positive squares in 2 ways, for example, as 28987456 + 44089600 = 5384^2 + 6640^2 .

It is a super-2 number, since 2×730770562 = 10680512227254272, which contains 22 as substring.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 43085 + ... + 44748.

It is an arithmetic number, because the mean of its divisors is an integer number (5577459).

Almost surely, 273077056 is an apocalyptic number.

It is an amenable number.

73077056 is an abundant number, since it is smaller than the sum of its proper divisors (83091796).

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

73077056 is a wasteful number, since it uses less digits than its factorization.

73077056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87858 (or 87848 counting only the distinct ones).

The product of its (nonzero) digits is 30870, while the sum is 35.

The square root of 73077056 is about 8548.5119172871. The cubic root of 73077056 is about 418.0809195995.

The spelling of 73077056 in words is "seventy-three million, seventy-seven thousand, fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 87833 175666 351332 702664 1141829 1405328 2283658 2810656 4567316 5621312 9134632 18269264 36538528 73077056