Search a number
-
+
427026816 = 273513729
BaseRepresentation
bin11001011100111…
…110100110000000
31002202112012200000
4121130332212000
51333304324231
6110212400000
713403445066
oct3134764600
91082465600
10427026816
111aa055627
12bb016000
136a6151b8
14409dc036
15277516e6
hex1973e980

427026816 has 96 divisors (see below), whose sum is σ = 1274418600. Its totient is φ = 142331904.

The previous prime is 427026781. The next prime is 427026823. The reversal of 427026816 is 618620724.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24240 + ... + 37968.

Almost surely, 2427026816 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 427026816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637209300).

427026816 is an abundant number, since it is smaller than the sum of its proper divisors (847391784).

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

427026816 is an equidigital number, since it uses as much as digits as its factorization.

427026816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13758 (or 13734 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 427026816 is about 20664.6271681828. The cubic root of 427026816 is about 753.0405844699.

The spelling of 427026816 in words is "four hundred twenty-seven million, twenty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 864 972 1152 1296 1728 1944 2592 3456 3888 5184 7776 10368 13729 15552 27458 31104 41187 54916 82374 109832 123561 164748 219664 247122 329496 370683 439328 494244 658992 741366 878656 988488 1112049 1317984 1482732 1757312 1976976 2224098 2635968 2965464 3336147 3953952 4448196 5271936 5930928 6672294 7907904 8896392 11861856 13344588 15815808 17792784 23723712 26689176 35585568 47447424 53378352 71171136 106756704 142342272 213513408 427026816