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429056037 = 32157303649
BaseRepresentation
bin11001100100101…
…110000000100101
31002220100022020100
4121210232000211
51334314243122
6110324054313
713426626144
oct3144560045
91086308210
10429056037
11200211173
12bb834399
136ab75a17
1440da975b
1527a02aac
hex1992e025

429056037 has 12 divisors (see below), whose sum is σ = 623697100. Its totient is φ = 284214528.

The previous prime is 429055993. The next prime is 429056059. The reversal of 429056037 is 730650924.

429056037 is a `hidden beast` number, since 4 + 2 + 90 + 560 + 3 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 233447841 + 195608196 = 15279^2 + 13986^2 .

It is not a de Polignac number, because 429056037 - 27 = 429055909 is a prime.

It is a super-2 number, since 2×4290560372 = 368178165772290738, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 429055992 and 429056010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429056077) 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, 150412 + ... + 153237.

Almost surely, 2429056037 is an apocalyptic number.

It is an amenable number.

429056037 is a deficient number, since it is larger than the sum of its proper divisors (194641063).

429056037 is a wasteful number, since it uses less digits than its factorization.

429056037 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303812 (or 303809 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 429056037 is about 20713.6678789634. The cubic root of 429056037 is about 754.2315101957.

The spelling of 429056037 in words is "four hundred twenty-nine million, fifty-six thousand, thirty-seven".

Divisors: 1 3 9 157 471 1413 303649 910947 2732841 47672893 143018679 429056037