Search a number
-
+
5442424240 = 2451117893457
BaseRepresentation
bin1010001000110010…
…01100110110110000
3112001021212210112011
411010121030312300
542121230033430
62300014012304
7251603562031
oct50431146660
915037783464
105442424240
112343119980
12107a7a7094
13689705296
14398b4aa88
1521cbea22a
hex14464cdb0

5442424240 has 80 divisors (see below), whose sum is σ = 13815678240. Its totient is φ = 1977384960.

The previous prime is 5442424237. The next prime is 5442424241. The reversal of 5442424240 is 424242445.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (5442424241) 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, 1572592 + ... + 1576048.

It is an arithmetic number, because the mean of its divisors is an integer number (172695978).

Almost surely, 25442424240 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 5442424240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6907839120).

5442424240 is an abundant number, since it is smaller than the sum of its proper divisors (8373254000).

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

5442424240 is a wasteful number, since it uses less digits than its factorization.

5442424240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5270 (or 5264 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 31.

The square root of 5442424240 is about 73772.7879370165. The cubic root of 5442424240 is about 1758.9930793395.

Adding to 5442424240 its reverse (424242445), we get a palindrome (5866666685).

The spelling of 5442424240 in words is "five billion, four hundred forty-two million, four hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 1789 3457 3578 6914 7156 8945 13828 14312 17285 17890 19679 27656 28624 34570 35780 38027 39358 55312 69140 71560 76054 78716 98395 138280 143120 152108 157432 190135 196790 276560 304216 314864 380270 393580 608432 760540 787160 1521080 1574320 3042160 6184573 12369146 24738292 30922865 49476584 61845730 68030303 98953168 123691460 136060606 247382920 272121212 340151515 494765840 544242424 680303030 1088484848 1360606060 2721212120 5442424240