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67826952 = 2332942041
BaseRepresentation
bin1000000101011…
…11010100001000
311201121222002100
410002233110020
5114330430302
610421433400
71452343134
oct402572410
9151558070
1067826952
1135317436
121a86b860
131108a6bb
1490183c4
155e4bd1c
hex40af508

67826952 has 24 divisors (see below), whose sum is σ = 183698190. Its totient is φ = 22608960.

The previous prime is 67826921. The next prime is 67826963. The reversal of 67826952 is 25962876.

It can be written as a sum of positive squares in only one way, i.e., 41139396 + 26687556 = 6414^2 + 5166^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×678269522 = 9200990835220608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 67826898 and 67826907.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 470949 + ... + 471092.

Almost surely, 267826952 is an apocalyptic number.

It is an amenable number.

67826952 is an abundant number, since it is smaller than the sum of its proper divisors (115871238).

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

67826952 is a wasteful number, since it uses less digits than its factorization.

67826952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942053 (or 942046 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 67826952 is about 8235.7119910789. The cubic root of 67826952 is about 407.8189796742.

The spelling of 67826952 in words is "sixty-seven million, eight hundred twenty-six thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 942041 1884082 2826123 3768164 5652246 7536328 8478369 11304492 16956738 22608984 33913476 67826952