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36828460 = 22517195701
BaseRepresentation
bin1000110001111…
…1010100101100
32120022002011001
42030133110230
533412002320
63353210044
7625015414
oct214372454
976262131
1036828460
1119874849
1210400924
1378260b6
144c69644
15337720a
hex231f52c

36828460 has 48 divisors (see below), whose sum is σ = 86214240. Its totient is φ = 13132800.

The previous prime is 36828439. The next prime is 36828461. The reversal of 36828460 is 6482863.

36828460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (36828461) by changing a digit.

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, 3610 + ... + 9310.

It is an arithmetic number, because the mean of its divisors is an integer number (1796130).

Almost surely, 236828460 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 36828460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43107120).

36828460 is an abundant number, since it is smaller than the sum of its proper divisors (49385780).

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

36828460 is a wasteful number, since it uses less digits than its factorization.

36828460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5746 (or 5744 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 36828460 is about 6068.6456479185. The cubic root of 36828460 is about 332.7064239151.

The spelling of 36828460 in words is "thirty-six million, eight hundred twenty-eight thousand, four hundred sixty".

Divisors: 1 2 4 5 10 17 19 20 34 38 68 76 85 95 170 190 323 340 380 646 1292 1615 3230 5701 6460 11402 22804 28505 57010 96917 108319 114020 193834 216638 387668 433276 484585 541595 969170 1083190 1841423 1938340 2166380 3682846 7365692 9207115 18414230 36828460