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36064032 = 253375667
BaseRepresentation
bin1000100110010…
…0101100100000
32111212020112220
42021210230200
533213022112
63324551040
7615352644
oct211445440
974766486
1036064032
11193a2494
12100b2480
137619184
144b0ac24
15327598c
hex2264b20

36064032 has 24 divisors (see below), whose sum is σ = 94668336. Its totient is φ = 12021312.

The previous prime is 36064031. The next prime is 36064043. The reversal of 36064032 is 23046063.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×360640322 = 2601228808194048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 36063993 and 36064011.

It is not an unprimeable number, because it can be changed into a prime (36064031) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 187738 + ... + 187929.

It is an arithmetic number, because the mean of its divisors is an integer number (3944514).

Almost surely, 236064032 is an apocalyptic number.

36064032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

36064032 is an abundant number, since it is smaller than the sum of its proper divisors (58604304).

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

36064032 is a wasteful number, since it uses less digits than its factorization.

36064032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375680 (or 375672 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 36064032 is about 6005.3336293665. Note that the first 3 decimals coincide. The cubic root of 36064032 is about 330.3883765334.

The spelling of 36064032 in words is "thirty-six million, sixty-four thousand, thirty-two", and thus it is an eban number.

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 375667 751334 1127001 1502668 2254002 3005336 4508004 6010672 9016008 12021344 18032016 36064032