Search a number
-
+
83233452 = 22319794621
BaseRepresentation
bin1001111011000…
…00101010101100
312210121200211110
410331200222230
5132301432302
612131552020
72030321061
oct475405254
9183550743
1083233452
1142a8a585
1223a5b610
1314323083
14b0a8c68
157491b6c
hex4f60aac

83233452 has 48 divisors (see below), whose sum is σ = 207065600. Its totient is φ = 25945920.

The previous prime is 83233417. The next prime is 83233453. The reversal of 83233452 is 25433238.

It is not an unprimeable number, because it can be changed into a prime (83233453) 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 15 ways as a sum of consecutive naturals, for example, 15702 + ... + 20322.

Almost surely, 283233452 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 83233452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103532800).

83233452 is an abundant number, since it is smaller than the sum of its proper divisors (123832148).

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

83233452 is a wasteful number, since it uses less digits than its factorization.

83233452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4726 (or 4724 counting only the distinct ones).

The product of its digits is 17280, while the sum is 30.

The square root of 83233452 is about 9123.2369255654. The cubic root of 83233452 is about 436.6156538378.

The spelling of 83233452 in words is "eighty-three million, two hundred thirty-three thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 79 114 158 228 237 316 474 948 1501 3002 4503 4621 6004 9006 9242 13863 18012 18484 27726 55452 87799 175598 263397 351196 365059 526794 730118 1053588 1095177 1460236 2190354 4380708 6936121 13872242 20808363 27744484 41616726 83233452