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83949468 = 223174110037
BaseRepresentation
bin1010000000011…
…11011110011100
312211222002000120
411000033132130
5132442340333
612155154540
72036362431
oct500173634
9184862016
1083949468
1143429529
1224145a50
1314513c55
14b213b88
157583db3
hex500f79c

83949468 has 48 divisors (see below), whose sum is σ = 212484384. Its totient is φ = 25692160.

The previous prime is 83949449. The next prime is 83949479. The reversal of 83949468 is 86494938.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 83949468.

It is a congruent number.

It is an unprimeable number.

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, 3346 + ... + 13382.

It is an arithmetic number, because the mean of its divisors is an integer number (4426758).

Almost surely, 283949468 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 83949468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106242192).

83949468 is an abundant number, since it is smaller than the sum of its proper divisors (128534916).

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

83949468 is a wasteful number, since it uses less digits than its factorization.

83949468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10102 (or 10100 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 51.

The square root of 83949468 is about 9162.3942285846. The cubic root of 83949468 is about 437.8640765868.

The spelling of 83949468 in words is "eighty-three million, nine hundred forty-nine thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 17 34 41 51 68 82 102 123 164 204 246 492 697 1394 2091 2788 4182 8364 10037 20074 30111 40148 60222 120444 170629 341258 411517 511887 682516 823034 1023774 1234551 1646068 2047548 2469102 4938204 6995789 13991578 20987367 27983156 41974734 83949468