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27285972 = 22371572069
BaseRepresentation
bin110100000010…
…1100111010100
31220100021022120
41220011213110
523441122342
62412455540
7450632640
oct150054724
956307276
1027285972
111444739a
12917a5b0
13586485c
1438a3c20
1525deaec
hex1a059d4

27285972 has 48 divisors (see below), whose sum is σ = 73261440. Its totient is φ = 7742592.

The previous prime is 27285967. The next prime is 27286009. The reversal of 27285972 is 27958272.

It is a happy number.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (141120) is a multiple of the sum of its prime factors (2240).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 12154 + ... + 14222.

It is an arithmetic number, because the mean of its divisors is an integer number (1526280).

Almost surely, 227285972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27285972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36630720).

27285972 is an abundant number, since it is smaller than the sum of its proper divisors (45975468).

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

27285972 is a wasteful number, since it uses less digits than its factorization.

27285972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2240 (or 2238 counting only the distinct ones).

The product of its digits is 141120, while the sum is 42.

The square root of 27285972 is about 5223.5976108426. The cubic root of 27285972 is about 301.0554380363.

The spelling of 27285972 in words is "twenty-seven million, two hundred eighty-five thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 157 314 471 628 942 1099 1884 2069 2198 3297 4138 4396 6207 6594 8276 12414 13188 14483 24828 28966 43449 57932 86898 173796 324833 649666 974499 1299332 1948998 2273831 3897996 4547662 6821493 9095324 13642986 27285972