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73856536 = 23131076637
BaseRepresentation
bin1000110011011…
…11011000011000
312010222022010021
410121233120120
5122401402121
611155000224
71554525115
oct431573030
9163868107
1073856536
1138765566
1220899074
13123bbcc0
149b4790c
15673d641
hex466f618

73856536 has 32 divisors (see below), whose sum is σ = 150549840. Its totient is φ = 33763968.

The previous prime is 73856527. The next prime is 73856557. The reversal of 73856536 is 63565837.

It is a junction number, because it is equal to n+sod(n) for n = 73856492 and 73856501.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7810 + ... + 14446.

Almost surely, 273856536 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 73856536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75274920).

73856536 is an abundant number, since it is smaller than the sum of its proper divisors (76693304).

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

73856536 is a wasteful number, since it uses less digits than its factorization.

73856536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6763 (or 6759 counting only the distinct ones).

The product of its digits is 453600, while the sum is 43.

The square root of 73856536 is about 8593.9825459446. The cubic root of 73856536 is about 419.5621589871.

The spelling of 73856536 in words is "seventy-three million, eight hundred fifty-six thousand, five hundred thirty-six".

Divisors: 1 2 4 8 13 26 52 104 107 214 428 856 1391 2782 5564 6637 11128 13274 26548 53096 86281 172562 345124 690248 710159 1420318 2840636 5681272 9232067 18464134 36928268 73856536