Search a number
-
+
27761052 = 223111911069
BaseRepresentation
bin110100111100…
…1100110011100
31221020102000010
41221321212130
524101323202
62431003220
7454652004
oct151714634
957212003
1027761052
1114741320
129369510
13599cb77
143989004
15268576c
hex1a7999c

27761052 has 48 divisors (see below), whose sum is σ = 74390400. Its totient is φ = 7968960.

The previous prime is 27761021. The next prime is 27761053. The reversal of 27761052 is 25016772.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27761053) 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, 3027 + ... + 8042.

It is an arithmetic number, because the mean of its divisors is an integer number (1549800).

Almost surely, 227761052 is an apocalyptic number.

27761052 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

27761052 is an abundant number, since it is smaller than the sum of its proper divisors (46629348).

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

27761052 is a wasteful number, since it uses less digits than its factorization.

27761052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11106 (or 11104 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 27761052 is about 5268.8757814168. The cubic root of 27761052 is about 302.7926344239.

It can be divided in two parts, 2776 and 1052, that added together give a triangular number (3828 = T87).

The spelling of 27761052 in words is "twenty-seven million, seven hundred sixty-one thousand, fifty-two".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 418 627 836 1254 2508 11069 22138 33207 44276 66414 121759 132828 210311 243518 365277 420622 487036 630933 730554 841244 1261866 1461108 2313421 2523732 4626842 6940263 9253684 13880526 27761052