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1427173412 = 22723127577
BaseRepresentation
bin101010100010000…
…1111000000100100
310200110110220212112
41111010033000210
510410324022122
6353341140152
750236526300
oct12504170044
93613426775
101427173412
11672669565
12339b5a658
131998a4012
14d7786d00
15854612e2
hex5510f024

1427173412 has 54 divisors (see below), whose sum is σ = 3002456646. Its totient is φ = 591837120.

The previous prime is 1427173411. The next prime is 1427173417. The reversal of 1427173412 is 2143717241.

It can be written as a sum of positive squares in only one way, i.e., 771506176 + 655667236 = 27776^2 + 25606^2 .

It is not an unprimeable number, because it can be changed into a prime (1427173411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 184568 + ... + 192144.

It is an arithmetic number, because the mean of its divisors is an integer number (55601049).

Almost surely, 21427173412 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 1427173412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1501228323).

1427173412 is an abundant number, since it is smaller than the sum of its proper divisors (1575283234).

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

1427173412 is a wasteful number, since it uses less digits than its factorization.

1427173412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7657 (or 7617 counting only the distinct ones).

The product of its digits is 9408, while the sum is 32.

The square root of 1427173412 is about 37777.9487532079. The cubic root of 1427173412 is about 1125.8803741221.

The spelling of 1427173412 in words is "one billion, four hundred twenty-seven million, one hundred seventy-three thousand, four hundred twelve".

Divisors: 1 2 4 7 14 28 31 49 62 98 124 196 217 434 868 961 1519 1922 3038 3844 6076 6727 7577 13454 15154 26908 30308 47089 53039 94178 106078 188356 212156 234887 371273 469774 742546 939548 1485092 1644209 3288418 6576836 7281497 11509463 14562994 23018926 29125988 46037852 50970479 101940958 203881916 356793353 713586706 1427173412