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4201385979 = 372793311093
BaseRepresentation
bin1111101001101100…
…0000111111111011
3101211210122112002010
43322123000333323
532101023322404
61532522141003
7206054122500
oct37233007773
911753575063
104201385979
11186663351a
12993051763
1351c57280b
142bbdb74a7
15198ca5189
hexfa6c0ffb

4201385979 has 48 divisors (see below), whose sum is σ = 6624913920. Its totient is φ = 2361078720.

The previous prime is 4201385971. The next prime is 4201385999. The reversal of 4201385979 is 9795831024.

It is not a de Polignac number, because 4201385979 - 23 = 4201385971 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4201385971) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3843357 + ... + 3844449.

It is an arithmetic number, because the mean of its divisors is an integer number (138019040).

Almost surely, 24201385979 is an apocalyptic number.

4201385979 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

4201385979 is a deficient number, since it is larger than the sum of its proper divisors (2423527941).

4201385979 is a wasteful number, since it uses less digits than its factorization.

4201385979 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 4201385979 is about 64818.0991621939. The cubic root of 4201385979 is about 1613.6061009682.

The spelling of 4201385979 in words is "four billion, two hundred one million, three hundred eighty-five thousand, nine hundred seventy-nine".

Divisors: 1 3 7 21 49 79 147 237 331 553 993 1093 1659 2317 3279 3871 6951 7651 11613 16219 22953 26149 48657 53557 78447 86347 160671 183043 259041 361783 549129 604429 1085349 1281301 1813287 2532481 3843903 4231003 7597443 12693009 17727367 28580857 53182101 85742571 200065999 600197997 1400461993 4201385979