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27939408 = 243731697
BaseRepresentation
bin110101010010…
…1001001010000
31221120110122220
41222211021100
524123030113
62434501040
7456324000
oct152451120
957513586
1027939408
1114853322
129434780
135a330c3
1439d4000
1526bd523
hex1aa5250

27939408 has 80 divisors (see below), whose sum is σ = 84220800. Its totient is φ = 7977984.

The previous prime is 27939389. The next prime is 27939413. The reversal of 27939408 is 80493972.

It is a super-2 number, since 2×279394082 = 1561221038780928, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 27939408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15616 + ... + 17312.

It is an arithmetic number, because the mean of its divisors is an integer number (1052760).

Almost surely, 227939408 is an apocalyptic number.

27939408 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27939408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42110400).

27939408 is an abundant number, since it is smaller than the sum of its proper divisors (56281392).

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

27939408 is a wasteful number, since it uses less digits than its factorization.

27939408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1729 (or 1709 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 27939408 is about 5285.7741154915. The cubic root of 27939408 is about 303.4396997125.

The spelling of 27939408 in words is "twenty-seven million, nine hundred thirty-nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 343 392 588 686 784 1029 1176 1372 1697 2058 2352 2744 3394 4116 5091 5488 6788 8232 10182 11879 13576 16464 20364 23758 27152 35637 40728 47516 71274 81456 83153 95032 142548 166306 190064 249459 285096 332612 498918 570192 582071 665224 997836 1164142 1330448 1746213 1995672 2328284 3492426 3991344 4656568 6984852 9313136 13969704 27939408