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36313056 = 2533135361
BaseRepresentation
bin1000101010000…
…1011111100000
32112022220011000
42022201133200
533244004211
63334152000
7620440653
oct212413740
975286130
1036313056
111955259a
12101b2600
1376a5620
144b7389a
1532c4656
hex22a17e0

36313056 has 192 divisors, whose sum is σ = 118117440. Its totient is φ = 10782720.

The previous prime is 36313033. The next prime is 36313073. The reversal of 36313056 is 65031363.

36313056 = T1144 + T1145 + ... + T1196.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 595266 + ... + 595326.

It is an arithmetic number, because the mean of its divisors is an integer number (615195).

Almost surely, 236313056 is an apocalyptic number.

36313056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36313056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59058720).

36313056 is an abundant number, since it is smaller than the sum of its proper divisors (81804384).

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

36313056 is a wasteful number, since it uses less digits than its factorization.

36313056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The square root of 36313056 is about 6026.0315299540. The cubic root of 36313056 is about 331.1470824928.

The spelling of 36313056 in words is "thirty-six million, three hundred thirteen thousand, fifty-six".