Search a number
-
+
27616272 = 24319107283
BaseRepresentation
bin110100101011…
…0010000010000
31220222001101220
41221112100100
524032210042
62423525040
7453506625
oct151262020
956861356
1027616272
1114652572
1292b9780
13594bcb8
14394c34c
1526578ec
hex1a56410

27616272 has 80 divisors (see below), whose sum is σ = 76066560. Its totient is φ = 8608896.

The previous prime is 27616271. The next prime is 27616273. The reversal of 27616272 is 27261672.

It is an interprime number because it is at equal distance from previous prime (27616271) and next prime (27616273).

It is not an unprimeable number, because it can be changed into a prime (27616271) 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, 97443 + ... + 97725.

It is an arithmetic number, because the mean of its divisors is an integer number (950832).

Almost surely, 227616272 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 27616272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38033280).

27616272 is an abundant number, since it is smaller than the sum of its proper divisors (48450288).

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

27616272 is a wasteful number, since it uses less digits than its factorization.

27616272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 414 counting only the distinct ones).

The product of its digits is 14112, while the sum is 33.

The square root of 27616272 is about 5255.1186475664. The cubic root of 27616272 is about 302.2653399490.

The spelling of 27616272 in words is "twenty-seven million, six hundred sixteen thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 107 114 152 214 228 283 304 321 428 456 566 642 849 856 912 1132 1284 1698 1712 2033 2264 2568 3396 4066 4528 5136 5377 6099 6792 8132 10754 12198 13584 16131 16264 21508 24396 30281 32262 32528 43016 48792 60562 64524 86032 90843 97584 121124 129048 181686 242248 258096 363372 484496 575339 726744 1150678 1453488 1726017 2301356 3452034 4602712 6904068 9205424 13808136 27616272