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27929385 = 32511173319
BaseRepresentation
bin110101010001…
…0101100101001
31221112221220200
41222202230221
524122220020
62434342413
7456252531
oct152425451
957487820
1027929385
1114846840
12942aa09
135a2b683
1439d04c1
1526ba590
hex1aa2b29

27929385 has 48 divisors (see below), whose sum is σ = 55935360. Its totient is φ = 12741120.

The previous prime is 27929381. The next prime is 27929387. The reversal of 27929385 is 58392972.

It is not a de Polignac number, because 27929385 - 22 = 27929381 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 27929385.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27929381) 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, 6756 + ... + 10074.

It is an arithmetic number, because the mean of its divisors is an integer number (1165320).

Almost surely, 227929385 is an apocalyptic number.

It is an amenable number.

27929385 is an abundant number, since it is smaller than the sum of its proper divisors (28005975).

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

27929385 is a wasteful number, since it uses less digits than its factorization.

27929385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3358 (or 3355 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 27929385 is about 5284.8259195550. The cubic root of 27929385 is about 303.4034099926.

It can be divided in two parts, 279293 and 85, that added together give a triangular number (279378 = T747).

The spelling of 27929385 in words is "twenty-seven million, nine hundred twenty-nine thousand, three hundred eighty-five".

Divisors: 1 3 5 9 11 15 17 33 45 51 55 85 99 153 165 187 255 495 561 765 935 1683 2805 3319 8415 9957 16595 29871 36509 49785 56423 109527 149355 169269 182545 282115 328581 507807 547635 620653 846345 1642905 1861959 2539035 3103265 5585877 9309795 27929385