Search a number
-
+
83949831 = 337444179
BaseRepresentation
bin1010000000011…
…11100100000111
312211222002112000
411000033210013
5132442343311
612155200343
72036363460
oct500174407
9184862460
1083949831
1143429829
12241460b3
1314514174
14b213d67
157584056
hex500f907

83949831 has 16 divisors (see below), whose sum is σ = 142137600. Its totient is φ = 47971224.

The previous prime is 83949823. The next prime is 83949851. The reversal of 83949831 is 13894938.

It is not a de Polignac number, because 83949831 - 23 = 83949823 is a prime.

It is a super-2 number, since 2×839498312 = 14095148249857122, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83949851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 221901 + ... + 222278.

It is an arithmetic number, because the mean of its divisors is an integer number (8883600).

Almost surely, 283949831 is an apocalyptic number.

83949831 is a deficient number, since it is larger than the sum of its proper divisors (58187769).

83949831 is a wasteful number, since it uses less digits than its factorization.

83949831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444195 (or 444189 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 83949831 is about 9162.4140377959. The cubic root of 83949831 is about 437.8647076983.

It can be divided in two parts, 8394 and 9831, that added together give a square (18225 = 1352).

The spelling of 83949831 in words is "eighty-three million, nine hundred forty-nine thousand, eight hundred thirty-one".

Divisors: 1 3 7 9 21 27 63 189 444179 1332537 3109253 3997611 9327759 11992833 27983277 83949831