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4298939232 = 25378971879
BaseRepresentation
bin1000000000011110…
…01001101101100000
3102002121012201222120
410000033021231200
532301012023412
61550325104240
7211350244350
oct40017115540
912077181876
104298939232
111906703745
129bb858080
1353683a733
142cad2cb60
151a2624b8c
hex1003c9b60

4298939232 has 96 divisors (see below), whose sum is σ = 13041907200. Its totient is φ = 1214450688.

The previous prime is 4298939219. The next prime is 4298939237. The reversal of 4298939232 is 2329398924.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4298939237) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23869 + ... + 95747.

It is an arithmetic number, because the mean of its divisors is an integer number (135853200).

Almost surely, 24298939232 is an apocalyptic number.

4298939232 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 4298939232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6520953600).

4298939232 is an abundant number, since it is smaller than the sum of its proper divisors (8742967968).

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

4298939232 is a wasteful number, since it uses less digits than its factorization.

4298939232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71988 (or 71980 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 51.

The square root of 4298939232 is about 65566.2964639608. The cubic root of 4298939232 is about 1625.9996036122. Note that the first 3 decimals are identical.

The spelling of 4298939232 in words is "four billion, two hundred ninety-eight million, nine hundred thirty-nine thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 89 96 112 168 178 224 267 336 356 534 623 672 712 1068 1246 1424 1869 2136 2492 2848 3738 4272 4984 7476 8544 9968 14952 19936 29904 59808 71879 143758 215637 287516 431274 503153 575032 862548 1006306 1150064 1509459 1725096 2012612 2300128 3018918 3450192 4025224 6037836 6397231 6900384 8050448 12075672 12794462 16100896 19191693 24151344 25588924 38383386 44780617 48302688 51177848 76766772 89561234 102355696 134341851 153533544 179122468 204711392 268683702 307067088 358244936 537367404 614134176 716489872 1074734808 1432979744 2149469616 4298939232