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27930042 = 2337371997
BaseRepresentation
bin110101010001…
…0110110111010
31221112222211000
41222202312322
524122230132
62434345430
7456254460
oct152426672
957488730
1027930042
1114847288
12942b276
135a2ba6a
1439d0830
1526ba87c
hex1aa2dba

27930042 has 64 divisors (see below), whose sum is σ = 72887040. Its totient is φ = 7760448.

The previous prime is 27930041. The next prime is 27930043. The reversal of 27930042 is 24003972.

It is an interprime number because it is at equal distance from previous prime (27930041) and next prime (27930043).

It is a super-4 number, since 4×279300424 (a number of 31 digits) contains 4444 as substring. Note that it is a super-d number also for d = 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 = 27929988 and 27930015.

It is not an unprimeable number, because it can be changed into a prime (27930041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12988 + ... + 14984.

It is an arithmetic number, because the mean of its divisors is an integer number (1138860).

Almost surely, 227930042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27930042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36443520).

27930042 is an abundant number, since it is smaller than the sum of its proper divisors (44956998).

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

27930042 is a wasteful number, since it uses less digits than its factorization.

27930042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2052 (or 2046 counting only the distinct ones).

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

The square root of 27930042 is about 5284.8880782851. Note that the first 3 decimals coincide. The cubic root of 27930042 is about 303.4057890219.

The spelling of 27930042 in words is "twenty-seven million, nine hundred thirty thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 37 42 54 63 74 111 126 189 222 259 333 378 518 666 777 999 1554 1997 1998 2331 3994 4662 5991 6993 11982 13979 13986 17973 27958 35946 41937 53919 73889 83874 107838 125811 147778 221667 251622 377433 443334 517223 665001 754866 1034446 1330002 1551669 1995003 3103338 3990006 4655007 9310014 13965021 27930042