Search a number
-
+
842379264 = 212342539
BaseRepresentation
bin110010001101011…
…011000000000000
32011201002022010000
4302031123000000
53211122114024
6215331040000
726606051136
oct6215330000
92151068100
10842379264
113a2557011
121b6140000
131056a068c
147dc3b756
154de48cc9
hex3235b000

842379264 has 130 divisors (see below), whose sum is σ = 2517421940. Its totient is φ = 280682496.

The previous prime is 842379247. The next prime is 842379277. The reversal of 842379264 is 462973248.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 330507 + ... + 333045.

Almost surely, 2842379264 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 842379264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258710970).

842379264 is an abundant number, since it is smaller than the sum of its proper divisors (1675042676).

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

842379264 is an equidigital number, since it uses as much as digits as its factorization.

842379264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2575 (or 2544 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 842379264 is about 29023.7706716409. The cubic root of 842379264 is about 944.4288006923.

The spelling of 842379264 in words is "eight hundred forty-two million, three hundred seventy-nine thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2048 2304 2539 2592 3072 3456 4096 4608 5078 5184 6144 6912 7617 9216 10156 10368 12288 13824 15234 18432 20312 20736 22851 27648 30468 36864 40624 41472 45702 55296 60936 68553 81248 82944 91404 110592 121872 137106 162496 165888 182808 205659 243744 274212 324992 331776 365616 411318 487488 548424 649984 731232 822636 974976 1096848 1299968 1462464 1645272 1949952 2193696 2599936 2924928 3290544 3899904 4387392 5199872 5849856 6581088 7799808 8774784 10399744 11699712 13162176 15599616 17549568 23399424 26324352 31199232 35099136 46798848 52648704 70198272 93597696 105297408 140396544 210594816 280793088 421189632 842379264