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36488040 = 2335304067
BaseRepresentation
bin1000101100110…
…0001101101000
32112122210011220
42023030031220
533320104130
63342022040
7622100061
oct213141550
975583156
1036488040
1119662006
1210277920
137737174
144bbb568
15330b410
hex22cc368

36488040 has 32 divisors (see below), whose sum is σ = 109464480. Its totient is φ = 9730112.

The previous prime is 36488021. The next prime is 36488047. The reversal of 36488040 is 4088463.

It is a junction number, because it is equal to n+sod(n) for n = 36487992 and 36488010.

It is not an unprimeable number, because it can be changed into a prime (36488047) 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 7 ways as a sum of consecutive naturals, for example, 151914 + ... + 152153.

It is an arithmetic number, because the mean of its divisors is an integer number (3420765).

Almost surely, 236488040 is an apocalyptic number.

36488040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36488040 is an abundant number, since it is smaller than the sum of its proper divisors (72976440).

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

36488040 is a wasteful number, since it uses less digits than its factorization.

36488040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304081 (or 304077 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 36488040 is about 6040.5330890576. The cubic root of 36488040 is about 331.6781367996.

The spelling of 36488040 in words is "thirty-six million, four hundred eighty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 304067 608134 912201 1216268 1520335 1824402 2432536 3040670 3648804 4561005 6081340 7297608 9122010 12162680 18244020 36488040