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49966164 = 22327319013
BaseRepresentation
bin1011111010011…
…0110001010100
310111000112200200
42332212301110
5100242404124
64542540500
71144463643
oct276466124
9114015620
1049966164
1126228356
1214897730
13a475ba1
1468c935a
1545bebc9
hex2fa6c54

49966164 has 36 divisors (see below), whose sum is σ = 128040276. Its totient is φ = 16426368.

The previous prime is 49966139. The next prime is 49966171. The reversal of 49966164 is 46166994.

It can be written as a sum of positive squares in 2 ways, for example, as 8749764 + 41216400 = 2958^2 + 6420^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6879 + ... + 12134.

Almost surely, 249966164 is an apocalyptic number.

It is an amenable number.

49966164 is an abundant number, since it is smaller than the sum of its proper divisors (78074112).

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

49966164 is a wasteful number, since it uses less digits than its factorization.

49966164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19096 (or 19091 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 49966164 is about 7068.6748404492. The cubic root of 49966164 is about 368.3200291849.

The spelling of 49966164 in words is "forty-nine million, nine hundred sixty-six thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 657 876 1314 2628 19013 38026 57039 76052 114078 171117 228156 342234 684468 1387949 2775898 4163847 5551796 8327694 12491541 16655388 24983082 49966164