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4690242528 = 2531392711297
BaseRepresentation
bin1000101111000111…
…10110101111100000
3110002212112000012020
410113203312233200
534101200230103
62053224101440
7224141255316
oct42743665740
913085460166
104690242528
111a975796a4
12aaa904880
1359992574a
14326cac0b6
151c6b6b753
hex1178f6be0

4690242528 has 96 divisors (see below), whose sum is σ = 12455815680. Its totient is φ = 1545246720.

The previous prime is 4690242521. The next prime is 4690242611. The reversal of 4690242528 is 8252420964.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 4690242528.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4690242521) 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, 3615576 + ... + 3616872.

It is an arithmetic number, because the mean of its divisors is an integer number (129748080).

Almost surely, 24690242528 is an apocalyptic number.

4690242528 is a gapful number since it is divisible by the number (48) 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 4690242528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6227907840).

4690242528 is an abundant number, since it is smaller than the sum of its proper divisors (7765573152).

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

4690242528 is a wasteful number, since it uses less digits than its factorization.

4690242528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1720 (or 1712 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 4690242528 is about 68485.3453521262. The cubic root of 4690242528 is about 1673.9087006585.

The spelling of 4690242528 in words is "four billion, six hundred ninety million, two hundred forty-two thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 139 271 278 417 542 556 813 834 1084 1112 1297 1626 1668 2168 2224 2594 3252 3336 3891 4336 4448 5188 6504 6672 7782 8672 10376 13008 13344 15564 20752 26016 31128 37669 41504 62256 75338 113007 124512 150676 180283 226014 301352 351487 360566 452028 540849 602704 702974 721132 904056 1054461 1081698 1205408 1405948 1442264 1808112 2108922 2163396 2811896 2884528 3616224 4217844 4326792 5623792 5769056 8435688 8653584 11247584 16871376 17307168 33742752 48856693 97713386 146570079 195426772 293140158 390853544 586280316 781707088 1172560632 1563414176 2345121264 4690242528