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426427872 = 25313449761
BaseRepresentation
bin11001011010101…
…100010111100000
31002201101210001220
4121122230113200
51333131142442
6110151455040
713365401643
oct3132542740
91081353056
10426427872
111a9786632
12ba987480
136a4656b0
14408c3a5a
1527683eec
hex196ac5e0

426427872 has 96 divisors (see below), whose sum is σ = 1209751200. Its totient is φ = 130744320.

The previous prime is 426427871. The next prime is 426427879. The reversal of 426427872 is 278724624.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426427871) 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, 559972 + ... + 560732.

It is an arithmetic number, because the mean of its divisors is an integer number (12601575).

Almost surely, 2426427872 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 426427872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604875600).

426427872 is an abundant number, since it is smaller than the sum of its proper divisors (783323328).

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

426427872 is a wasteful number, since it uses less digits than its factorization.

426427872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1236 (or 1228 counting only the distinct ones).

The product of its digits is 301056, while the sum is 42.

The square root of 426427872 is about 20650.1300722296. The cubic root of 426427872 is about 752.6883504047.

The spelling of 426427872 in words is "four hundred twenty-six million, four hundred twenty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 449 624 761 898 1248 1347 1522 1796 2283 2694 3044 3592 4566 5388 5837 6088 7184 9132 9893 10776 11674 12176 14368 17511 18264 19786 21552 23348 24352 29679 35022 36528 39572 43104 46696 59358 70044 73056 79144 93392 118716 140088 158288 186784 237432 280176 316576 341689 474864 560352 683378 949728 1025067 1366756 2050134 2733512 4100268 4441957 5467024 8200536 8883914 10934048 13325871 16401072 17767828 26651742 32802144 35535656 53303484 71071312 106606968 142142624 213213936 426427872