Search a number
-
+
27057492 = 223271143227
BaseRepresentation
bin110011100110…
…1110101010100
31212220122220100
41213031311110
523411314432
62403534100
7445661550
oct147156524
955818810
1027057492
1114300770
12908a330
1357b4867
143844860
15259707c
hex19cdd54

27057492 has 144 divisors (see below), whose sum is σ = 87639552. Its totient is φ = 6834240.

The previous prime is 27057491. The next prime is 27057529. The reversal of 27057492 is 29475072.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27057491) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119083 + ... + 119309.

It is an arithmetic number, because the mean of its divisors is an integer number (608608).

Almost surely, 227057492 is an apocalyptic number.

27057492 is a gapful number since it is divisible by the number (22) 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 27057492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43819776).

27057492 is an abundant number, since it is smaller than the sum of its proper divisors (60582060).

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

27057492 is a wasteful number, since it uses less digits than its factorization.

27057492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 27057492 is about 5201.6816511586. The cubic root of 27057492 is about 300.2127823765.

The spelling of 27057492 in words is "twenty-seven million, fifty-seven thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 43 44 63 66 77 84 86 99 126 129 132 154 172 198 227 231 252 258 301 308 387 396 454 462 473 516 602 681 693 774 903 908 924 946 1204 1362 1386 1419 1548 1589 1806 1892 2043 2497 2709 2724 2772 2838 3178 3311 3612 4086 4257 4767 4994 5418 5676 6356 6622 7491 8172 8514 9534 9761 9933 9988 10836 13244 14301 14982 17028 17479 19068 19522 19866 22473 28602 29283 29799 29964 34958 39044 39732 44946 52437 57204 58566 59598 68327 69916 87849 89892 104874 107371 117132 119196 136654 157311 175698 204981 209748 214742 273308 314622 322113 351396 409962 429484 614943 629244 644226 751597 819924 966339 1229886 1288452 1503194 1932678 2254791 2459772 3006388 3865356 4509582 6764373 9019164 13528746 27057492