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33981941 = 726111369
BaseRepresentation
bin1000000110100…
…0010111110101
32100221110110102
42001220113311
532144410231
63212203445
7561561500
oct201502765
970843412
1033981941
1118200154
12b469585
13706a576
144728137
152eb3acb
hex20685f5

33981941 has 12 divisors (see below), whose sum is σ = 40181580. Its totient is φ = 28647360.

The previous prime is 33981919. The next prime is 33981953. The reversal of 33981941 is 14918933.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 8439025 + 25542916 = 2905^2 + 5054^2 .

It is not a de Polignac number, because 33981941 - 26 = 33981877 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 33981895 and 33981904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33981901) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2696 + ... + 8673.

It is an arithmetic number, because the mean of its divisors is an integer number (3348465).

Almost surely, 233981941 is an apocalyptic number.

It is an amenable number.

33981941 is a deficient number, since it is larger than the sum of its proper divisors (6199639).

33981941 is a wasteful number, since it uses less digits than its factorization.

33981941 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11444 (or 11437 counting only the distinct ones).

The product of its digits is 23328, while the sum is 38.

The square root of 33981941 is about 5829.4031426897. The cubic root of 33981941 is about 323.9038129604.

The spelling of 33981941 in words is "thirty-three million, nine hundred eighty-one thousand, nine hundred forty-one".

Divisors: 1 7 49 61 427 2989 11369 79583 557081 693509 4854563 33981941