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27939492 = 2234797127
BaseRepresentation
bin110101010010…
…1001010100100
31221120110210000
41222211022210
524123030432
62434501300
7456324150
oct152451244
957513700
1027939492
1114853399
129434830
135a33159
1439d4060
1526bd57c
hex1aa52a4

27939492 has 120 divisors (see below), whose sum is σ = 84998144. Its totient is φ = 7838208.

The previous prime is 27939487. The next prime is 27939497. The reversal of 27939492 is 29493972.

It is an interprime number because it is at equal distance from previous prime (27939487) and next prime (27939497).

It is a super-4 number, since 4×279394924 (a number of 31 digits) contains 4444 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (27939497) 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 39 ways as a sum of consecutive naturals, for example, 219933 + ... + 220059.

Almost surely, 227939492 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 27939492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42499072).

27939492 is an abundant number, since it is smaller than the sum of its proper divisors (57058652).

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

27939492 is a wasteful number, since it uses less digits than its factorization.

27939492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 236 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 27939492 is about 5285.7820613415. The cubic root of 27939492 is about 303.4400038100.

The spelling of 27939492 in words is "twenty-seven million, nine hundred thirty-nine thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 97 108 126 127 162 189 194 252 254 291 324 378 381 388 508 567 582 679 756 762 873 889 1134 1143 1164 1358 1524 1746 1778 2037 2268 2286 2619 2667 2716 3429 3492 3556 4074 4572 5238 5334 6111 6858 7857 8001 8148 10287 10476 10668 12222 12319 13716 15714 16002 18333 20574 24003 24444 24638 31428 32004 36666 36957 41148 48006 49276 54999 72009 73332 73914 86233 96012 109998 110871 144018 147828 172466 219996 221742 258699 288036 332613 344932 443484 517398 665226 776097 997839 1034796 1330452 1552194 1995678 2328291 3104388 3991356 4656582 6984873 9313164 13969746 27939492