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27434772 = 22322692833
BaseRepresentation
bin110100010100…
…1111100010100
31220121211102200
41220221330110
524010403042
62420004500
7452122521
oct150517424
956554380
1027434772
1114539172
129230730
1358b74c1
143902148
15261dc4c
hex1a29f14

27434772 has 36 divisors (see below), whose sum is σ = 69631380. Its totient is φ = 9107712.

The previous prime is 27434767. The next prime is 27434777. The reversal of 27434772 is 27743472.

It is an interprime number because it is at equal distance from previous prime (27434767) and next prime (27434777).

It can be written as a sum of positive squares in 2 ways, for example, as 5588496 + 21846276 = 2364^2 + 4674^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27434777) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8268 + ... + 11100.

It is an arithmetic number, because the mean of its divisors is an integer number (1934205).

Almost surely, 227434772 is an apocalyptic number.

It is an amenable number.

27434772 is an abundant number, since it is smaller than the sum of its proper divisors (42196608).

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

27434772 is a wasteful number, since it uses less digits than its factorization.

27434772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3112 (or 3107 counting only the distinct ones).

The product of its digits is 65856, while the sum is 36.

The square root of 27434772 is about 5237.8213027937. The cubic root of 27434772 is about 301.6016999719.

The spelling of 27434772 in words is "twenty-seven million, four hundred thirty-four thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 269 538 807 1076 1614 2421 2833 3228 4842 5666 8499 9684 11332 16998 25497 33996 50994 101988 762077 1524154 2286231 3048308 4572462 6858693 9144924 13717386 27434772