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27478374 = 2371125407
BaseRepresentation
bin110100011010…
…0100101100110
31220201001020120
41220310211212
524013301444
62420542410
7452363610
oct150644546
956631216
1027478374
1114568a00
129251a06
1359012c1
143913db0
15262bb19
hex1a34966

27478374 has 48 divisors (see below), whose sum is σ = 69049344. Its totient is φ = 7135920.

The previous prime is 27478357. The next prime is 27478379. The reversal of 27478374 is 47387472.

It is a super-2 number, since 2×274783742 = 1510122075367752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27478379) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2379 + ... + 7785.

It is an arithmetic number, because the mean of its divisors is an integer number (1438528).

Almost surely, 227478374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27478374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34524672).

27478374 is an abundant number, since it is smaller than the sum of its proper divisors (41570970).

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

27478374 is a wasteful number, since it uses less digits than its factorization.

27478374 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5441 (or 5430 counting only the distinct ones).

The product of its digits is 263424, while the sum is 42.

The square root of 27478374 is about 5241.9818771148. The cubic root of 27478374 is about 301.7613936241.

The spelling of 27478374 in words is "twenty-seven million, four hundred seventy-eight thousand, three hundred seventy-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 121 154 231 242 363 462 726 847 1694 2541 5082 5407 10814 16221 32442 37849 59477 75698 113547 118954 178431 227094 356862 416339 654247 832678 1249017 1308494 1962741 2498034 3925482 4579729 9159458 13739187 27478374