Search a number
-
+
27707428 = 22731137233
BaseRepresentation
bin110100110110…
…0100000100100
31221010200110001
41221230200210
524043114203
62425511044
7454336450
oct151544044
957120401
1027707428
1114705001
129342484
135981638
143973660
15267491d
hex1a6c824

27707428 has 48 divisors (see below), whose sum is σ = 57867264. Its totient is φ = 11358720.

The previous prime is 27707423. The next prime is 27707429. The reversal of 27707428 is 82470772.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27707423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118800 + ... + 119032.

It is an arithmetic number, because the mean of its divisors is an integer number (1205568).

Almost surely, 227707428 is an apocalyptic number.

27707428 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 27707428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28933632).

27707428 is an abundant number, since it is smaller than the sum of its proper divisors (30159836).

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

27707428 is a wasteful number, since it uses less digits than its factorization.

27707428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 37.

The square root of 27707428 is about 5263.7845700598. The cubic root of 27707428 is about 302.5975479404.

It can be divided in two parts, 27 and 707428, that added together give a triangular number (707455 = T1189).

The spelling of 27707428 in words is "twenty-seven million, seven hundred seven thousand, four hundred twenty-eight".

Divisors: 1 2 4 7 14 28 31 62 124 137 217 233 274 434 466 548 868 932 959 1631 1918 3262 3836 4247 6524 7223 8494 14446 16988 28892 29729 31921 50561 59458 63842 101122 118916 127684 202244 223447 446894 893788 989551 1979102 3958204 6926857 13853714 27707428