Search a number
-
+
4108874224 = 247213596833
BaseRepresentation
bin1111010011101000…
…0111000111110000
3101121100120102210211
43310322013013300
531403332433344
61515415233504
7203551566100
oct36472070760
911540512724
104108874224
111819397024
12968078894
13506351530
142ad9b5200
15190ace334
hexf4e871f0

4108874224 has 120 divisors (see below), whose sum is σ = 10143569520. Its totient is φ = 1597704192.

The previous prime is 4108874221. The next prime is 4108874233. The reversal of 4108874224 is 4224788014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4108874221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 597912 + ... + 604744.

It is an arithmetic number, because the mean of its divisors is an integer number (84529746).

Almost surely, 24108874224 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 4108874224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5071784760).

4108874224 is an abundant number, since it is smaller than the sum of its proper divisors (6034695296).

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

4108874224 is a wasteful number, since it uses less digits than its factorization.

4108874224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6927 (or 6914 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 40.

The square root of 4108874224 is about 64100.5009652811. The cubic root of 4108874224 is about 1601.6745780064.

The spelling of 4108874224 in words is "four billion, one hundred eight million, eight hundred seventy-four thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 59 91 98 104 112 118 182 196 208 236 364 392 413 472 637 728 767 784 826 944 1274 1456 1534 1652 2548 2891 3068 3304 5096 5369 5782 6136 6608 6833 10192 10738 11564 12272 13666 21476 23128 27332 37583 42952 46256 47831 54664 75166 85904 88829 95662 109328 150332 177658 191324 300664 334817 355316 382648 403147 601328 621803 669634 710632 765296 806294 1243606 1339268 1421264 1612588 2487212 2678536 2822029 3225176 4352621 4974424 5240911 5357072 5644058 6450352 8705242 9948848 10481822 11288116 17410484 19754203 20963644 22576232 34820968 36686377 39508406 41927288 45152464 69641936 73372754 79016812 83854576 146745508 158033624 256804639 293491016 316067248 513609278 586982032 1027218556 2054437112 4108874224