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36385000 = 235419383
BaseRepresentation
bin1000101011001…
…1000011101000
32112110112211121
42022303003220
533303310000
63335505024
7621160501
oct212630350
975415747
1036385000
11195a1653
1210228174
1376cc2b2
144b91ba8
1532dab1a
hex22b30e8

36385000 has 80 divisors (see below), whose sum is σ = 89971200. Its totient is φ = 13752000.

The previous prime is 36384973. The next prime is 36385007. The reversal of 36385000 is 58363.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36385007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 94809 + ... + 95191.

It is an arithmetic number, because the mean of its divisors is an integer number (1124640).

Almost surely, 236385000 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 36385000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44985600).

36385000 is an abundant number, since it is smaller than the sum of its proper divisors (53586200).

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

36385000 is a wasteful number, since it uses less digits than its factorization.

36385000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 36385000 is about 6031.9980106098. The cubic root of 36385000 is about 331.3656295031.

The spelling of 36385000 in words is "thirty-six million, three hundred eighty-five thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 200 250 380 383 475 500 625 760 766 950 1000 1250 1532 1900 1915 2375 2500 3064 3800 3830 4750 5000 7277 7660 9500 9575 11875 14554 15320 19000 19150 23750 29108 36385 38300 47500 47875 58216 72770 76600 95000 95750 145540 181925 191500 239375 291080 363850 383000 478750 727700 909625 957500 1455400 1819250 1915000 3638500 4548125 7277000 9096250 18192500 36385000