Search a number
-
+
27796956 = 22311316793
BaseRepresentation
bin110101000001…
…0010111011100
31221022020020220
41222002113130
524104000311
62431441340
7455161455
oct152022734
957266226
1027796956
11147662a0
129386250
1359b3305
14399812c
152691206
hex1a825dc

27796956 has 48 divisors (see below), whose sum is σ = 73049088. Its totient is φ = 8150400.

The previous prime is 27796939. The next prime is 27796961. The reversal of 27796956 is 65969772.

It is a junction number, because it is equal to n+sod(n) for n = 27796899 and 27796908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 696 + ... + 7488.

It is an arithmetic number, because the mean of its divisors is an integer number (1521856).

Almost surely, 227796956 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 27796956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36524544).

27796956 is an abundant number, since it is smaller than the sum of its proper divisors (45252132).

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

27796956 is a wasteful number, since it uses less digits than its factorization.

27796956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6842 (or 6840 counting only the distinct ones).

The product of its digits is 1428840, while the sum is 51.

The square root of 27796956 is about 5272.2818589298. The cubic root of 27796956 is about 302.9231143896.

The spelling of 27796956 in words is "twenty-seven million, seven hundred ninety-six thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 186 341 372 682 1023 1364 2046 4092 6793 13586 20379 27172 40758 74723 81516 149446 210583 224169 298892 421166 448338 631749 842332 896676 1263498 2316413 2526996 4632826 6949239 9265652 13898478 27796956