Search a number
-
+
27150528 = 263413449
BaseRepresentation
bin110011110010…
…0100011000000
31220002101112010
41213210203000
523422304103
62405532520
7446530026
oct147444300
956071463
1027150528
1114364659
129114140
135818002
14386a716
1525b4903
hex19e48c0

27150528 has 56 divisors (see below), whose sum is σ = 73609200. Its totient is φ = 8826880.

The previous prime is 27150527. The next prime is 27150553. The reversal of 27150528 is 82505172.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 27150495 and 27150504.

It is not an unprimeable number, because it can be changed into a prime (27150527) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6148 + ... + 9596.

It is an arithmetic number, because the mean of its divisors is an integer number (1314450).

Almost surely, 227150528 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 27150528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36804600).

27150528 is an abundant number, since it is smaller than the sum of its proper divisors (46458672).

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

27150528 is a wasteful number, since it uses less digits than its factorization.

27150528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3505 (or 3495 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 30.

The square root of 27150528 is about 5210.6168540778. The cubic root of 27150528 is about 300.5564782461.

It can be divided in two parts, 27 and 150528, that multiplied together give a square (4064256 = 20162).

The spelling of 27150528 in words is "twenty-seven million, one hundred fifty thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 164 192 246 328 492 656 984 1312 1968 2624 3449 3936 6898 7872 10347 13796 20694 27592 41388 55184 82776 110368 141409 165552 220736 282818 331104 424227 565636 662208 848454 1131272 1696908 2262544 3393816 4525088 6787632 9050176 13575264 27150528