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72044946 = 23217235441
BaseRepresentation
bin1000100101101…
…01000110010010
312000120021002100
410102311012102
5121420414241
611052101230
71533241401
oct422650622
9160507070
1072044946
1137738486
1220164816
1311c0655c
1497d5638
1564d19b6
hex44b5192

72044946 has 24 divisors (see below), whose sum is σ = 165280284. Its totient is φ = 22602240.

The previous prime is 72044939. The next prime is 72044971. The reversal of 72044946 is 64944027.

It can be written as a sum of positive squares in 2 ways, for example, as 61449921 + 10595025 = 7839^2 + 3255^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 72044946.

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 11 ways as a sum of consecutive naturals, for example, 117415 + ... + 118026.

Almost surely, 272044946 is an apocalyptic number.

72044946 is an abundant number, since it is smaller than the sum of its proper divisors (93235338).

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

72044946 is a wasteful number, since it uses less digits than its factorization.

72044946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235466 (or 235463 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 72044946 is about 8487.9294294899. The cubic root of 72044946 is about 416.1033127588.

The spelling of 72044946 in words is "seventy-two million, forty-four thousand, nine hundred forty-six".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 235441 470882 706323 1412646 2118969 4002497 4237938 8004994 12007491 24014982 36022473 72044946