Search a number
-
+
27061248 = 210323383
BaseRepresentation
bin110011100111…
…0110000000000
31212220212001110
41213032300000
523411424443
62404003320
7446005524
oct147166000
955825043
1027061248
1114303575
129090540
1357b6496
143845d84
152598233
hex19cec00

27061248 has 88 divisors (see below), whose sum is σ = 75460608. Its totient is φ = 8605696.

The previous prime is 27061241. The next prime is 27061259. The reversal of 27061248 is 84216072.

It is a super-2 number, since 2×270612482 = 1464622286635008, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27061241) 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, 70465 + ... + 70847.

Almost surely, 227061248 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 27061248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37730304).

27061248 is an abundant number, since it is smaller than the sum of its proper divisors (48399360).

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

27061248 is a wasteful number, since it uses less digits than its factorization.

27061248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 27061248 is about 5202.0426757188. The cubic root of 27061248 is about 300.2266731323.

The spelling of 27061248 in words is "twenty-seven million, sixty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 383 384 512 552 736 766 768 1024 1104 1149 1472 1532 1536 2208 2298 2944 3064 3072 4416 4596 5888 6128 8809 8832 9192 11776 12256 17618 17664 18384 23552 24512 26427 35236 35328 36768 49024 52854 70472 70656 73536 98048 105708 140944 147072 196096 211416 281888 294144 392192 422832 563776 588288 845664 1127552 1176576 1691328 2255104 3382656 4510208 6765312 9020416 13530624 27061248