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4716397392 = 243729412131
BaseRepresentation
bin1000110010001111…
…01000001101010000
3110011200201210220220
410121013220031100
534124344204032
62100000433040
7224606500500
oct43107501520
913150653826
104716397392
112000313193
12ab7618780
135a21824b5
1432a559a00
151c90d612c
hex1191e8350

4716397392 has 120 divisors (see below), whose sum is σ = 14194975392. Its totient is φ = 1345478400.

The previous prime is 4716397391. The next prime is 4716397429. The reversal of 4716397392 is 2937936174.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4716397391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2212167 + ... + 2214297.

Almost surely, 24716397392 is an apocalyptic number.

4716397392 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4716397392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7097487696).

4716397392 is an abundant number, since it is smaller than the sum of its proper divisors (9478578000).

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

4716397392 is a wasteful number, since it uses less digits than its factorization.

4716397392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3097 (or 3084 counting only the distinct ones).

The product of its digits is 1714608, while the sum is 51.

The square root of 4716397392 is about 68676.0321509622. The cubic root of 4716397392 is about 1677.0144195972.

The spelling of 4716397392 in words is "four billion, seven hundred sixteen million, three hundred ninety-seven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 941 1176 1882 2131 2352 2823 3764 4262 5646 6393 6587 7528 8524 11292 12786 13174 14917 15056 17048 19761 22584 25572 26348 29834 34096 39522 44751 45168 46109 51144 52696 59668 79044 89502 92218 102288 104419 105392 119336 138327 158088 179004 184436 208838 238672 276654 313257 316176 358008 368872 417676 553308 626514 716016 737744 835352 1106616 1253028 1670704 2005271 2213232 2506056 4010542 5012112 6015813 8021084 12031626 14036897 16042168 24063252 28073794 32084336 42110691 48126504 56147588 84221382 96253008 98258279 112295176 168442764 196516558 224590352 294774837 336885528 393033116 589549674 673771056 786066232 1179099348 1572132464 2358198696 4716397392