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426699312 = 243132232287
BaseRepresentation
bin11001011011101…
…110101000110000
31002201220120102020
4121123232220300
51333213334222
6110201351440
713400612214
oct3133565060
91081816366
10426699312
111a9951566
12baa98580
136a52c100
1440954944
15276d965c
hex196eea30

426699312 has 120 divisors (see below), whose sum is σ = 1246063104. Its totient is φ = 125528832.

The previous prime is 426699311. The next prime is 426699313. The reversal of 426699312 is 213996624.

It is an interprime number because it is at equal distance from previous prime (426699311) and next prime (426699313).

It is a super-2 number, since 2×4266993122 = 364144605722546688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (426699311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185433 + ... + 187719.

Almost surely, 2426699312 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 426699312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623031552).

426699312 is an abundant number, since it is smaller than the sum of its proper divisors (819363792).

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

426699312 is a wasteful number, since it uses less digits than its factorization.

426699312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2347 (or 2328 counting only the distinct ones).

The product of its digits is 139968, while the sum is 42.

The square root of 426699312 is about 20656.7013823602. The cubic root of 426699312 is about 752.8480228869.

The spelling of 426699312 in words is "four hundred twenty-six million, six hundred ninety-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 39 46 48 52 69 78 92 104 138 156 169 184 208 276 299 312 338 368 507 552 598 624 676 897 1014 1104 1196 1352 1794 2028 2287 2392 2704 3588 3887 4056 4574 4784 6861 7176 7774 8112 9148 11661 13722 14352 15548 18296 23322 27444 29731 31096 36592 46644 52601 54888 59462 62192 89193 93288 105202 109776 118924 157803 178386 186576 210404 237848 315606 356772 386503 420808 475696 631212 683813 713544 773006 841616 1159509 1262424 1367626 1427088 1546012 2051439 2319018 2524848 2735252 3092024 4102878 4638036 5470504 6184048 8205756 8889569 9276072 10941008 16411512 17779138 18552144 26668707 32823024 35558276 53337414 71116552 106674828 142233104 213349656 426699312