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83308752 = 2432578533
BaseRepresentation
bin1001111011100…
…11000011010000
312210202112010100
410331303003100
5132311340002
612133332400
72031053442
oct475630320
9183675110
1083308752
114303110a
1223a97100
131434b427
14b0c8492
1574a911c
hex4f730d0

83308752 has 30 divisors (see below), whose sum is σ = 233149202. Its totient is φ = 27769536.

The previous prime is 83308751. The next prime is 83308777. The reversal of 83308752 is 25780338.

It can be written as a sum of positive squares in only one way, i.e., 82737216 + 571536 = 9096^2 + 756^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83308751) 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, 289123 + ... + 289410.

Almost surely, 283308752 is an apocalyptic number.

It is an amenable number.

83308752 is an abundant number, since it is smaller than the sum of its proper divisors (149840450).

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

83308752 is a wasteful number, since it uses less digits than its factorization.

83308752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578547 (or 578538 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 83308752 is about 9127.3628173750. The cubic root of 83308752 is about 436.7472805994.

83308752 divided by its sum of digits (36) gives a palindrome (2314132).

The spelling of 83308752 in words is "eighty-three million, three hundred eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 578533 1157066 1735599 2314132 3471198 4628264 5206797 6942396 9256528 10413594 13884792 20827188 27769584 41654376 83308752