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36242946 = 23217831427
BaseRepresentation
bin1000101001000…
…0011000000010
32112012022222100
42022100120002
533234233241
63332451230
7620026365
oct212203002
975168870
1036242946
1119504953
1210179b16
13767c73c
144b560dc
1532ad9b6
hex2290602

36242946 has 48 divisors (see below), whose sum is σ = 84206304. Its totient is φ = 11225472.

The previous prime is 36242923. The next prime is 36242951. The reversal of 36242946 is 64924263.

36242946 is a `hidden beast` number, since 3 + 624 + 29 + 4 + 6 = 666.

It is a super-2 number, since 2×362429462 = 2627102269517832, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 36242946.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24685 + ... + 26111.

It is an arithmetic number, because the mean of its divisors is an integer number (1754298).

Almost surely, 236242946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36242946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42103152).

36242946 is an abundant number, since it is smaller than the sum of its proper divisors (47963358).

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

36242946 is a wasteful number, since it uses less digits than its factorization.

36242946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1535 (or 1532 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 36242946 is about 6020.2114580802. The cubic root of 36242946 is about 330.9338288026.

The spelling of 36242946 in words is "thirty-six million, two hundred forty-two thousand, nine hundred forty-six".

Divisors: 1 2 3 6 9 17 18 34 51 83 102 153 166 249 306 498 747 1411 1427 1494 2822 2854 4233 4281 8466 8562 12699 12843 24259 25398 25686 48518 72777 118441 145554 218331 236882 355323 436662 710646 1065969 2013497 2131938 4026994 6040491 12080982 18121473 36242946