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429657492 = 2231127112011
BaseRepresentation
bin11001100111000…
…000110110010100
31002221110212021110
4121213000312110
51334443014432
6110345015020
713435012515
oct3147006624
91087425243
10429657492
11200592040
12bba84470
136b026704
14410c4a0c
1527ac0dcc
hex199c0d94

429657492 has 48 divisors (see below), whose sum is σ = 1097800704. Its totient is φ = 129708000.

The previous prime is 429657467. The next prime is 429657493. The reversal of 429657492 is 294756924.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429657493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29767 + ... + 41777.

It is an arithmetic number, because the mean of its divisors is an integer number (22870848).

Almost surely, 2429657492 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 429657492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548900352).

429657492 is an abundant number, since it is smaller than the sum of its proper divisors (668143212).

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

429657492 is a wasteful number, since it uses less digits than its factorization.

429657492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12300 (or 12298 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 48.

The square root of 429657492 is about 20728.1811068892. The cubic root of 429657492 is about 754.5837753764.

The spelling of 429657492 in words is "four hundred twenty-nine million, six hundred fifty-seven thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 271 542 813 1084 1626 2981 3252 5962 8943 11924 12011 17886 24022 35772 36033 48044 72066 132121 144132 264242 396363 528484 792726 1585452 3254981 6509962 9764943 13019924 19529886 35804791 39059772 71609582 107414373 143219164 214828746 429657492