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1429435728 = 24337472697
BaseRepresentation
bin101010100110011…
…0111010101010000
310200121201212012000
41111030313111100
510411413420403
6353501434000
750265001050
oct12514672520
93617655160
101429435728
11673974246
1233a86b900
1319a1b6976
14d7bb5560
158575b7a3
hex55337550

1429435728 has 80 divisors (see below), whose sum is σ = 4689164160. Its totient is φ = 408409344.

The previous prime is 1429435727. The next prime is 1429435783. The reversal of 1429435728 is 8275349241.

1429435728 is a `hidden beast` number, since 1 + 4 + 294 + 357 + 2 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1429435727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 233325 + ... + 239372.

It is an arithmetic number, because the mean of its divisors is an integer number (58614552).

Almost surely, 21429435728 is an apocalyptic number.

1429435728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1429435728 is an abundant number, since it is smaller than the sum of its proper divisors (3259728432).

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

1429435728 is a wasteful number, since it uses less digits than its factorization.

1429435728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472721 (or 472709 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 1429435728 is about 37807.8791788167. The cubic root of 1429435728 is about 1126.4749649135.

The spelling of 1429435728 in words is "one billion, four hundred twenty-nine million, four hundred thirty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 472697 945394 1418091 1890788 2836182 3308879 3781576 4254273 5672364 6617758 7563152 8508546 9926637 11344728 12762819 13235516 17017092 19853274 22689456 25525638 26471032 29779911 34034184 39706548 51051276 52942064 59559822 68068368 79413096 89339733 102102552 119119644 158826192 178679466 204205104 238239288 357358932 476478576 714717864 1429435728