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429637164 = 2231113672381
BaseRepresentation
bin11001100110111…
…011111000101100
31002221102211101120
4121212323320230
51334441342124
6110344340540
713434566325
oct3146737054
91087384346
10429637164
11200578840
12bba74750
136b01a398
14410bb44c
1527ab9d79
hex199bbe2c

429637164 has 48 divisors (see below), whose sum is σ = 1094881536. Its totient is φ = 130043200.

The previous prime is 429637157. The next prime is 429637181. The reversal of 429637164 is 461736924.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179254 + ... + 181634.

It is an arithmetic number, because the mean of its divisors is an integer number (22810032).

Almost surely, 2429637164 is an apocalyptic number.

429637164 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

429637164 is an abundant number, since it is smaller than the sum of its proper divisors (665244372).

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

429637164 is a wasteful number, since it uses less digits than its factorization.

429637164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3766 (or 3764 counting only the distinct ones).

The product of its digits is 217728, while the sum is 42.

The square root of 429637164 is about 20727.6907541578. The cubic root of 429637164 is about 754.5718748734.

The spelling of 429637164 in words is "four hundred twenty-nine million, six hundred thirty-seven thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 1367 2381 2734 4101 4762 5468 7143 8202 9524 14286 15037 16404 26191 28572 30074 45111 52382 60148 78573 90222 104764 157146 180444 314292 3254827 6509654 9764481 13019308 19528962 35803097 39057924 71606194 107409291 143212388 214818582 429637164