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27929952 = 253296979
BaseRepresentation
bin110101010001…
…0110101100000
31221112222200200
41222202311200
524122224302
62434345200
7456254301
oct152426540
957488620
1027929952
1114847206
12942b200
135a2b9cb
1439d07a8
1526ba81c
hex1aa2d60

27929952 has 36 divisors (see below), whose sum is σ = 79426620. Its totient is φ = 9309888.

The previous prime is 27929947. The next prime is 27929959. The reversal of 27929952 is 25992972.

It is a happy number.

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

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 27929898 and 27929907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27929959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 48202 + ... + 48777.

It is an arithmetic number, because the mean of its divisors is an integer number (2206295).

Almost surely, 227929952 is an apocalyptic number.

It is an amenable number.

27929952 is an abundant number, since it is smaller than the sum of its proper divisors (51496668).

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

27929952 is a wasteful number, since it uses less digits than its factorization.

27929952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96995 (or 96984 counting only the distinct ones).

The product of its digits is 204120, while the sum is 45.

The square root of 27929952 is about 5284.8795634338. The cubic root of 27929952 is about 303.4054631297.

The spelling of 27929952 in words is "twenty-seven million, nine hundred twenty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 96979 193958 290937 387916 581874 775832 872811 1163748 1551664 1745622 2327496 3103328 3491244 4654992 6982488 9309984 13964976 27929952