Search a number
-
+
5074414592 = 210131721319
BaseRepresentation
bin1001011100111010…
…10110110000000000
3111002122101222012012
410232131112300000
540343022231332
62155310152052
7236514545432
oct45635266000
914078358165
105074414592
112174413875
12b974b2628
1362b3b48b0
14361d12652
151ea7553b2
hex12e756c00

5074414592 has 132 divisors (see below), whose sum is σ = 11613367920. Its totient is φ = 2202599424.

The previous prime is 5074414591. The next prime is 5074414603. The reversal of 5074414592 is 2954144705.

It is not an unprimeable number, because it can be changed into a prime (5074414591) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3846509 + ... + 3847827.

It is an arithmetic number, because the mean of its divisors is an integer number (87980060).

Almost surely, 25074414592 is an apocalyptic number.

5074414592 is a gapful number since it is divisible by the number (52) 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 5074414592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5806683960).

5074414592 is an abundant number, since it is smaller than the sum of its proper divisors (6538953328).

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

5074414592 is a wasteful number, since it uses less digits than its factorization.

5074414592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1386 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 41.

The square root of 5074414592 is about 71234.9253667048. The cubic root of 5074414592 is about 1718.4173507421.

The spelling of 5074414592 in words is "five billion, seventy-four million, four hundred fourteen thousand, five hundred ninety-two".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 128 136 208 221 256 272 289 416 442 512 544 578 832 884 1024 1088 1156 1319 1664 1768 2176 2312 2638 3328 3536 3757 4352 4624 5276 6656 7072 7514 8704 9248 10552 13312 14144 15028 17147 17408 18496 21104 22423 28288 30056 34294 36992 42208 44846 56576 60112 68588 73984 84416 89692 113152 120224 137176 147968 168832 179384 226304 240448 274352 291499 295936 337664 358768 381191 480896 548704 582998 675328 717536 762382 961792 1097408 1165996 1350656 1435072 1524764 1923584 2194816 2331992 2870144 3049528 3847168 4389632 4663984 4955483 5740288 6099056 8779264 9327968 9910966 11480576 12198112 17558528 18655936 19821932 22961152 24396224 37311872 39643864 48792448 74623744 79287728 97584896 149247488 158575456 195169792 298494976 317150912 390339584 634301824 1268603648 2537207296 5074414592