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36890532 = 2233726971
BaseRepresentation
bin1000110010111…
…0011110100100
32120102020022000
42030232132210
533420444112
63354405300
7625364400
oct214563644
976366260
1036890532
1119907448
1210430830
137848423
144c84100
15338a7dc
hex232e7a4

36890532 has 72 divisors (see below), whose sum is σ = 111273120. Its totient is φ = 10538640.

The previous prime is 36890531. The next prime is 36890549. The reversal of 36890532 is 23509863.

36890532 is a `hidden beast` number, since 36 + 8 + 90 + 532 = 666.

36890532 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×368905322 = 2721822702486048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (36890531) 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 23 ways as a sum of consecutive naturals, for example, 1807 + ... + 8777.

It is an arithmetic number, because the mean of its divisors is an integer number (1545460).

Almost surely, 236890532 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 36890532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55636560).

36890532 is an abundant number, since it is smaller than the sum of its proper divisors (74382588).

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

36890532 is a wasteful number, since it uses less digits than its factorization.

36890532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6998 (or 6983 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 36890532 is about 6073.7576507464. The cubic root of 36890532 is about 332.8932374247.

The spelling of 36890532 in words is "thirty-six million, eight hundred ninety thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 588 756 882 1323 1764 2646 5292 6971 13942 20913 27884 41826 48797 62739 83652 97594 125478 146391 188217 195188 250956 292782 341579 376434 439173 585564 683158 752868 878346 1024737 1317519 1366316 1756692 2049474 2635038 3074211 4098948 5270076 6148422 9222633 12296844 18445266 36890532