Search a number
-
+
83151992 = 23711235869
BaseRepresentation
bin1001111010011…
…00110001111000
312210110120002102
410331030301320
5132241330432
612130122532
72026531430
oct475146170
9183416072
1083151992
1142a34360
1223a20448
13142c4c81
14b0872c0
157477962
hex4f4cc78

83151992 has 64 divisors (see below), whose sum is σ = 202867200. Its totient is φ = 30983040.

The previous prime is 83151911. The next prime is 83151997. The reversal of 83151992 is 29915138.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83151997) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11234 + ... + 17102.

It is an arithmetic number, because the mean of its divisors is an integer number (3169800).

Almost surely, 283151992 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 83151992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101433600).

83151992 is an abundant number, since it is smaller than the sum of its proper divisors (119715208).

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

83151992 is a wasteful number, since it uses less digits than its factorization.

83151992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5916 (or 5912 counting only the distinct ones).

The product of its digits is 19440, while the sum is 38.

The square root of 83151992 is about 9118.7714084738. The cubic root of 83151992 is about 436.4731697781.

The spelling of 83151992 in words is "eighty-three million, one hundred fifty-one thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 11 14 22 23 28 44 46 56 77 88 92 154 161 184 253 308 322 506 616 644 1012 1288 1771 2024 3542 5869 7084 11738 14168 23476 41083 46952 64559 82166 129118 134987 164332 258236 269974 328664 451913 516472 539948 903826 944909 1079896 1484857 1807652 1889818 2969714 3615304 3779636 5939428 7559272 10393999 11878856 20787998 41575996 83151992