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4192324304 = 2471710492099
BaseRepresentation
bin1111100111100001…
…1100101011010000
3101211011121010210112
43321320130223100
532041213334204
61532000020452
7205614111560
oct37170345320
911734533715
104192324304
111861504333
12990001728
1351a71c08c
142baad8da0
151980b526e
hexf9e1cad0

4192324304 has 80 divisors (see below), whose sum is σ = 9843120000. Its totient is φ = 1688604672.

The previous prime is 4192324271. The next prime is 4192324313. The reversal of 4192324304 is 4034232914.

It is a super-3 number, since 3×41923243043 (a number of 30 digits) contains 333 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 (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1996247 + ... + 1998345.

It is an arithmetic number, because the mean of its divisors is an integer number (123039000).

Almost surely, 24192324304 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 4192324304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4921560000).

4192324304 is an abundant number, since it is smaller than the sum of its proper divisors (5650795696).

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

4192324304 is a wasteful number, since it uses less digits than its factorization.

4192324304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3180 (or 3174 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 4192324304 is about 64748.1606225227. The cubic root of 4192324304 is about 1612.4451746197.

The spelling of 4192324304 in words is "four billion, one hundred ninety-two million, three hundred twenty-four thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 476 952 1049 1904 2098 2099 4196 4198 7343 8392 8396 14686 14693 16784 16792 17833 29372 29386 33584 35666 35683 58744 58772 71332 71366 117488 117544 124831 142664 142732 235088 249662 249781 285328 285464 499324 499562 570928 998648 999124 1997296 1998248 2201851 3996496 4403702 8807404 15412957 17614808 30825914 35229616 37431467 61651828 74862934 123303656 149725868 246607312 262020269 299451736 524040538 598903472 1048081076 2096162152 4192324304