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4192354304 = 21441792
BaseRepresentation
bin1111100111100010…
…0100000000000000
3101211011122122221122
43321320210000000
532041220314204
61532000411412
7205614265205
oct37170440000
911734578848
104192354304
111861524926
12990016b68
1351a72c928
142bab05cac
151980be0be
hexf9e24000

4192354304 has 90 divisors (see below), whose sum is σ = 8699048694. Its totient is φ = 2019164160.

The previous prime is 4192354297. The next prime is 4192354333. The reversal of 4192354304 is 4034532914.

It can be written as a sum of positive squares in only one way, i.e., 2556313600 + 1636040704 = 50560^2 + 40448^2 .

It is a super-2 number, since 2×41923543042 = 35151669220534648832, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 53067737 + ... + 53067815.

Almost surely, 24192354304 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 4192354304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4349524347).

4192354304 is an abundant number, since it is smaller than the sum of its proper divisors (4506694390).

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

4192354304 is an frugal number, since it uses more digits than its factorization.

4192354304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The square root of 4192354304 is about 64748.3922889210. The cubic root of 4192354304 is about 1612.4490207948.

The spelling of 4192354304 in words is "four billion, one hundred ninety-two million, three hundred fifty-four thousand, three hundred four".

Divisors: 1 2 4 8 16 32 41 64 79 82 128 158 164 256 316 328 512 632 656 1024 1264 1312 2048 2528 2624 3239 4096 5056 5248 6241 6478 8192 10112 10496 12482 12956 16384 20224 20992 24964 25912 40448 41984 49928 51824 80896 83968 99856 103648 161792 167936 199712 207296 255881 323584 335872 399424 414592 511762 647168 671744 798848 829184 1023524 1294336 1597696 1658368 2047048 3195392 3316736 4094096 6390784 6633472 8188192 12781568 13266944 16376384 25563136 26533888 32752768 51126272 53067776 65505536 102252544 131011072 262022144 524044288 1048088576 2096177152 4192354304