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73052936 = 23111316337
BaseRepresentation
bin1000101101010…
…11001100001000
312002110110210022
410112223030020
5122200143221
611125440012
71544640215
oct426531410
9162413708
1073052936
1138266830
1220570008
131219a2b8
1499b8b0c
1566304ab
hex45ab308

73052936 has 32 divisors (see below), whose sum is σ = 150590880. Its totient is φ = 32947200.

The previous prime is 73052923. The next prime is 73052963. The reversal of 73052936 is 63925037.

It is a junction number, because it is equal to n+sod(n) for n = 73052896 and 73052905.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 8360 + ... + 14696.

It is an arithmetic number, because the mean of its divisors is an integer number (4705965).

Almost surely, 273052936 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 73052936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75295440).

73052936 is an abundant number, since it is smaller than the sum of its proper divisors (77537944).

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

73052936 is a wasteful number, since it uses less digits than its factorization.

73052936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6485 (or 6481 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 35.

The square root of 73052936 is about 8547.1010290039. The cubic root of 73052936 is about 418.0349169187.

The spelling of 73052936 in words is "seventy-three million, fifty-two thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 11 22 44 88 131 262 524 1048 1441 2882 5764 6337 11528 12674 25348 50696 69707 139414 278828 557656 830147 1660294 3320588 6641176 9131617 18263234 36526468 73052936