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27903042 = 234414201
BaseRepresentation
bin110101001110…
…0010001000010
31221111121210000
41222130101002
524120344132
62434020430
7456112656
oct152342102
957447700
1027903042
1114828a72
129417716
135a1c69b
1439c4a66
1526b287c
hex1a9c442

27903042 has 40 divisors (see below), whose sum is σ = 64063692. Its totient is φ = 9072000.

The previous prime is 27902993. The next prime is 27903053. The reversal of 27903042 is 24030972.

It can be written as a sum of positive squares in 2 ways, for example, as 20169081 + 7733961 = 4491^2 + 2781^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 27902997 and 27903015.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4542 + ... + 8742.

Almost surely, 227903042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27903042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32031846).

27903042 is an abundant number, since it is smaller than the sum of its proper divisors (36160650).

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

27903042 is a wasteful number, since it uses less digits than its factorization.

27903042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4256 (or 4247 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 27903042 is about 5282.3330072990. Note that the first 3 decimals coincide. The cubic root of 27903042 is about 303.3079899394.

It can be divided in two parts, 2790 and 3042, that added together give a cube (5832 = 183).

The spelling of 27903042 in words is "twenty-seven million, nine hundred three thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 123 162 246 369 738 1107 2214 3321 4201 6642 8402 12603 25206 37809 75618 113427 172241 226854 340281 344482 516723 680562 1033446 1550169 3100338 4650507 9301014 13951521 27903042