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83481424 = 24131723609
BaseRepresentation
bin1001111100111…
…01001101010000
312211002021222121
410332131031100
5132332401144
612141144024
72032403035
oct476351520
9184067877
1083481424
1143139914
1223b5b014
13143abbc0
14b13138c
1574e0384
hex4f9d350

83481424 has 40 divisors (see below), whose sum is σ = 184441320. Its totient is φ = 36261888.

The previous prime is 83481403. The next prime is 83481427. The reversal of 83481424 is 42418438.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1904400 + 81577024 = 1380^2 + 9032^2 .

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 83481424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83481427) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8269 + ... + 15340.

It is an arithmetic number, because the mean of its divisors is an integer number (4611033).

Almost surely, 283481424 is an apocalyptic number.

It is an amenable number.

83481424 is an abundant number, since it is smaller than the sum of its proper divisors (100959896).

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

83481424 is a wasteful number, since it uses less digits than its factorization.

83481424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23647 (or 23641 counting only the distinct ones).

The product of its digits is 24576, while the sum is 34.

The square root of 83481424 is about 9136.8169512145. The cubic root of 83481424 is about 437.0488174792.

The spelling of 83481424 in words is "eighty-three million, four hundred eighty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 442 884 1768 3536 23609 47218 94436 188872 306917 377744 401353 613834 802706 1227668 1605412 2455336 3210824 4910672 5217589 6421648 10435178 20870356 41740712 83481424