Search a number
-
+
83003328 = 2632144103
BaseRepresentation
bin1001111001010…
…00011111000000
312210012000011100
410330220133000
5132222101303
612123014400
72025342132
oct474503700
9183160140
1083003328
11429426a1
122396a400
13142723c5
14b049052
1574488a3
hex4f287c0

83003328 has 42 divisors (see below), whose sum is σ = 237915704. Its totient is φ = 27667584.

The previous prime is 83003257. The next prime is 83003329. The reversal of 83003328 is 82330038.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83003329) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 71476 + ... + 72627.

Almost surely, 283003328 is an apocalyptic number.

It is an amenable number.

83003328 is an abundant number, since it is smaller than the sum of its proper divisors (154912376).

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

83003328 is a wasteful number, since it uses less digits than its factorization.

83003328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144121 (or 144108 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 83003328 is about 9110.6162250421. The cubic root of 83003328 is about 436.2128971765.

It can be divided in two parts, 8300 and 3328, that added together give a triangular number (11628 = T152).

The spelling of 83003328 in words is "eighty-three million, three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 144103 288206 432309 576412 864618 1152824 1296927 1729236 2305648 2593854 3458472 4611296 5187708 6916944 9222592 10375416 13833888 20750832 27667776 41501664 83003328