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1429082604 = 2232711813089
BaseRepresentation
bin101010100101110…
…0001000111101100
310200121001220210100
41111023201013230
510411321120404
6353450111100
750262000405
oct12513410754
93617056710
101429082604
11673752a04
1233a71b490
1319a0c2011
14d7b229ac
15856dbd39
hex552e11ec

1429082604 has 72 divisors (see below), whose sum is σ = 3684713760. Its totient is φ = 466905600.

The previous prime is 1429082591. The next prime is 1429082639. The reversal of 1429082604 is 4062809241.

1429082604 is a `hidden beast` number, since 1 + 42 + 9 + 0 + 8 + 2 + 604 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 461092 + ... + 464180.

It is an arithmetic number, because the mean of its divisors is an integer number (51176580).

Almost surely, 21429082604 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 1429082604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1842356880).

1429082604 is an abundant number, since it is smaller than the sum of its proper divisors (2255631156).

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

1429082604 is a wasteful number, since it uses less digits than its factorization.

1429082604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3351 (or 3346 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1429082604 is about 37803.2089114139. The cubic root of 1429082604 is about 1126.3821968144.

The spelling of 1429082604 in words is "one billion, four hundred twenty-nine million, eighty-two thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 181 213 284 362 426 543 639 724 852 1086 1278 1629 2172 2556 3089 3258 6178 6516 9267 12356 12851 18534 25702 27801 37068 38553 51404 55602 77106 111204 115659 154212 219319 231318 438638 462636 559109 657957 877276 1118218 1315914 1677327 1973871 2236436 2631828 3354654 3947742 5031981 6709308 7895484 10063962 20127924 39696739 79393478 119090217 158786956 238180434 357270651 476360868 714541302 1429082604