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36363852 = 223271131277
BaseRepresentation
bin1000101010110…
…1111001001100
32112102110211100
42022231321030
533302120402
63335223100
7621042030
oct212557114
975373740
1036363852
1119587778
1210217a90
1376c2795
144b881c0
1532d471c
hex22ade4c

36363852 has 72 divisors (see below), whose sum is σ = 106063776. Its totient is φ = 10289664.

The previous prime is 36363839. The next prime is 36363871. The reversal of 36363852 is 25836363.

It is a happy number.

36363852 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

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, 27838 + ... + 29114.

It is an arithmetic number, because the mean of its divisors is an integer number (1473108).

Almost surely, 236363852 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 36363852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53031888).

36363852 is an abundant number, since it is smaller than the sum of its proper divisors (69699924).

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

36363852 is a wasteful number, since it uses less digits than its factorization.

36363852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407 (or 1402 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 36363852 is about 6030.2447711515. The cubic root of 36363852 is about 331.3014173418.

The spelling of 36363852 in words is "thirty-six million, three hundred sixty-three thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 113 126 226 252 339 452 678 791 1017 1277 1356 1582 2034 2373 2554 3164 3831 4068 4746 5108 7119 7662 8939 9492 11493 14238 15324 17878 22986 26817 28476 35756 45972 53634 80451 107268 144301 160902 288602 321804 432903 577204 865806 1010107 1298709 1731612 2020214 2597418 3030321 4040428 5194836 6060642 9090963 12121284 18181926 36363852