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53348967 = 3276011409
BaseRepresentation
bin1100101110000…
…0101001100111
310201101102000200
43023200221213
5102124131332
65143241543
71215313230
oct313405147
9121342020
1053348967
1128128961
1215a492b3
13b08b849
14712a087
154a3c17c
hex32e0a67

53348967 has 24 divisors (see below), whose sum is σ = 88277280. Its totient is φ = 30412800.

The previous prime is 53348957. The next prime is 53348987. The reversal of 53348967 is 76984335.

53348967 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-53348967 is a prime.

It is a super-2 number, since 2×533489672 = 5692224559934178, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53348957) 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 23 ways as a sum of consecutive naturals, for example, 37159 + ... + 38567.

It is an arithmetic number, because the mean of its divisors is an integer number (3678220).

Almost surely, 253348967 is an apocalyptic number.

53348967 is a deficient number, since it is larger than the sum of its proper divisors (34928313).

53348967 is a wasteful number, since it uses less digits than its factorization.

53348967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2023 (or 2020 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 53348967 is about 7304.0377189607. The cubic root of 53348967 is about 376.4511875682.

The spelling of 53348967 in words is "fifty-three million, three hundred forty-eight thousand, nine hundred sixty-seven".

Divisors: 1 3 7 9 21 63 601 1409 1803 4207 4227 5409 9863 12621 12681 29589 37863 88767 846809 2540427 5927663 7621281 17782989 53348967