Search a number
-
+
9088342640 = 2451313962869
BaseRepresentation
bin10000111011011010…
…10001101001110000
3212110101022122022222
420131231101221300
5122103103431030
64101454420212
7441134431526
oct103555215160
925411278288
109088342640
113944150383
121917801668
13b1ab71a50
14623050316
15382d2c3e5
hex21db51a70

9088342640 has 80 divisors (see below), whose sum is σ = 22919887200. Its totient is φ = 3331501056.

The previous prime is 9088342619. The next prime is 9088342649. The reversal of 9088342640 is 462438809.

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

It is a junction number, because it is equal to n+sod(n) for n = 9088342591 and 9088342600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9088342649) 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, 113126 + ... + 175994.

It is an arithmetic number, because the mean of its divisors is an integer number (286498590).

Almost surely, 29088342640 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 9088342640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11459943600).

9088342640 is an abundant number, since it is smaller than the sum of its proper divisors (13831544560).

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

9088342640 is a wasteful number, since it uses less digits than its factorization.

9088342640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63034 (or 63028 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 44.

The square root of 9088342640 is about 95332.7993924442. The cubic root of 9088342640 is about 2086.8676045354.

The spelling of 9088342640 in words is "nine billion, eighty-eight million, three hundred forty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 139 208 260 278 520 556 695 1040 1112 1390 1807 2224 2780 3614 5560 7228 9035 11120 14456 18070 28912 36140 62869 72280 125738 144560 251476 314345 502952 628690 817297 1005904 1257380 1634594 2514760 3269188 4086485 5029520 6538376 8172970 8738791 13076752 16345940 17477582 32691880 34955164 43693955 65383760 69910328 87387910 113604283 139820656 174775820 227208566 349551640 454417132 568021415 699103280 908834264 1136042830 1817668528 2272085660 4544171320 9088342640