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33797052 = 2232938807
BaseRepresentation
bin1000000011101…
…1001110111100
32100121001211200
42000323032330
532123001202
63204215500
7560161452
oct200731674
970531750
1033797052
1118094253
12b39a590
137004373
1446ba9d2
152e78e1c
hex203b3bc

33797052 has 18 divisors (see below), whose sum is σ = 85431528. Its totient is φ = 11265672.

The previous prime is 33797039. The next prime is 33797059. The reversal of 33797052 is 25079733.

It is a happy number.

33797052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×337970522 = 2284481447781408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 938807 = 33797052 / (3 + 3 + 7 + 9 + 7 + 0 + 5 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 33796998 and 33797016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33797059) 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 5 ways as a sum of consecutive naturals, for example, 469368 + ... + 469439.

It is an arithmetic number, because the mean of its divisors is an integer number (4746196).

Almost surely, 233797052 is an apocalyptic number.

It is an amenable number.

33797052 is an abundant number, since it is smaller than the sum of its proper divisors (51634476).

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

33797052 is a wasteful number, since it uses less digits than its factorization.

33797052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938817 (or 938812 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 36.

The square root of 33797052 is about 5813.5232002633. The cubic root of 33797052 is about 323.3153122300.

The spelling of 33797052 in words is "thirty-three million, seven hundred ninety-seven thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 938807 1877614 2816421 3755228 5632842 8449263 11265684 16898526 33797052