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36051829 = 112674447
BaseRepresentation
bin1000100110000…
…1101101110101
32111211121210221
42021201231311
533212124304
63324414341
7615302242
oct211415565
974747727
1036051829
1119394300
12100a73b1
137613758
144b065c9
153272054
hex2261b75

36051829 has 12 divisors (see below), whose sum is σ = 40227712. Its totient is φ = 32277960.

The previous prime is 36051811. The next prime is 36051839. The reversal of 36051829 is 92815063.

36051829 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 36051829 - 217 = 35920757 is a prime.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 36051794 and 36051803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36051809) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 5884 + ... + 10330.

Almost surely, 236051829 is an apocalyptic number.

It is an amenable number.

36051829 is a deficient number, since it is larger than the sum of its proper divisors (4175883).

36051829 is a wasteful number, since it uses less digits than its factorization.

36051829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4536 (or 4525 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 36051829 is about 6004.3175299113. The cubic root of 36051829 is about 330.3511077833.

The spelling of 36051829 in words is "thirty-six million, fifty-one thousand, eight hundred twenty-nine".

Divisors: 1 11 67 121 737 4447 8107 48917 297949 538087 3277439 36051829