Search a number
-
+
84406032 = 2432586153
BaseRepresentation
bin1010000011111…
…10111100010000
312212211021022100
411001332330100
5133101443112
612213040400
72043303504
oct501767420
9185737270
1084406032
1143710557
1224326100
13146439c9
14b2d2304
1576242dc
hex507ef10

84406032 has 30 divisors (see below), whose sum is σ = 236220062. Its totient is φ = 28135296.

The previous prime is 84406019. The next prime is 84406039. The reversal of 84406032 is 23060448.

It can be written as a sum of positive squares in only one way, i.e., 76317696 + 8088336 = 8736^2 + 2844^2 .

It is a junction number, because it is equal to n+sod(n) for n = 84405987 and 84406005.

It is not an unprimeable number, because it can be changed into a prime (84406039) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 292933 + ... + 293220.

Almost surely, 284406032 is an apocalyptic number.

It is an amenable number.

84406032 is an abundant number, since it is smaller than the sum of its proper divisors (151814030).

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

84406032 is a wasteful number, since it uses less digits than its factorization.

84406032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586167 (or 586158 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 84406032 is about 9187.2755482787. The cubic root of 84406032 is about 438.6564248781.

The spelling of 84406032 in words is "eighty-four million, four hundred six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 586153 1172306 1758459 2344612 3516918 4689224 5275377 7033836 9378448 10550754 14067672 21101508 28135344 42203016 84406032