Search a number
-
+
2027242672 = 247134193323
BaseRepresentation
bin111100011010101…
…0100010010110000
312020021121121010221
41320311110102300
513122433231142
6533054502424
7101144164330
oct17065242260
95207547127
102027242672
11950364474
12486b04a14
13263cc52a0
1415334b0c0
15bce94767
hex78d544b0

2027242672 has 80 divisors (see below), whose sum is σ = 4847189760. Its totient is φ = 799831296.

The previous prime is 2027242669. The next prime is 2027242699. The reversal of 2027242672 is 2762427202.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 608403 + ... + 611725.

It is an arithmetic number, because the mean of its divisors is an integer number (60589872).

Almost surely, 22027242672 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 2027242672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2423594880).

2027242672 is an abundant number, since it is smaller than the sum of its proper divisors (2819947088).

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

2027242672 is a wasteful number, since it uses less digits than its factorization.

2027242672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3770 (or 3764 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 34.

The square root of 2027242672 is about 45024.9116823120. The cubic root of 2027242672 is about 1265.6158732519.

Adding to 2027242672 its reverse (2762427202), we get a palindrome (4789669874).

The spelling of 2027242672 in words is "two billion, twenty-seven million, two hundred forty-two thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 419 728 838 1456 1676 2933 3323 3352 5447 5866 6646 6704 10894 11732 13292 21788 23261 23464 26584 38129 43199 43576 46522 46928 53168 76258 86398 87152 93044 152516 172796 186088 302393 305032 345592 372176 604786 610064 691184 1209572 1392337 2419144 2784674 4838288 5569348 9746359 11138696 18100381 19492718 22277392 36200762 38985436 72401524 77970872 126702667 144803048 155941744 253405334 289606096 506810668 1013621336 2027242672