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83409436 = 22111011372
BaseRepresentation
bin1001111100010…
…11101000011100
312210221122020101
410332023220130
5132323100221
612135430444
72031653125
oct476135034
9183848211
1083409436
114309a820
1223b25424
13143851c6
14b11304c
1574c8d91
hex4f8ba1c

83409436 has 36 divisors (see below), whose sum is σ = 161995176. Its totient is φ = 37264000.

The previous prime is 83409413. The next prime is 83409461. The reversal of 83409436 is 63490438.

It is a junction number, because it is equal to n+sod(n) for n = 83409395 and 83409404.

It is a congruent number.

It is an unprimeable number.

It is a Kaprekar number, because its square (6957134013838096) can be partitioned into two parts whose sum is 83409436.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 608760 + ... + 608896.

It is an arithmetic number, because the mean of its divisors is an integer number (4499866).

Almost surely, 283409436 is an apocalyptic number.

It is an amenable number.

83409436 is a deficient number, since it is larger than the sum of its proper divisors (78585740).

83409436 is a wasteful number, since it uses less digits than its factorization.

83409436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The square root of 83409436 is about 9132.8766552494. The cubic root of 83409436 is about 436.9231555190.

It can be divided in two parts, 83409 and 436, that added together give a triangular number (83845 = T409).

The spelling of 83409436 in words is "eighty-three million, four hundred nine thousand, four hundred thirty-six".

Divisors: 1 2 4 11 22 44 101 137 202 274 404 548 1111 1507 2222 3014 4444 6028 13837 18769 27674 37538 55348 75076 152207 206459 304414 412918 608828 825836 1895669 3791338 7582676 20852359 41704718 83409436