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4905241632 = 25335677363
BaseRepresentation
bin1001001000110000…
…00000110000100000
3110122212002002112000
410210120000300200
540021220213012
62130424204000
7232361603004
oct44430006040
913585062460
104905241632
112097976705
12b4a909600
13602331b55
14347676704
151da989ddc
hex124600c20

4905241632 has 48 divisors (see below), whose sum is σ = 14306957280. Its totient is φ = 1635080256.

The previous prime is 4905241619. The next prime is 4905241633. The reversal of 4905241632 is 2361425094.

It is a happy number.

4905241632 is a `hidden beast` number, since 4 + 90 + 524 + 16 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×49052416322 = 48122790936612046848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4905241633) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2837818 + ... + 2839545.

It is an arithmetic number, because the mean of its divisors is an integer number (298061610).

Almost surely, 24905241632 is an apocalyptic number.

It is an amenable number.

4905241632 is an abundant number, since it is smaller than the sum of its proper divisors (9401715648).

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

4905241632 is a wasteful number, since it uses less digits than its factorization.

4905241632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5677382 (or 5677368 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 4905241632 is about 70037.4302212753. The cubic root of 4905241632 is about 1699.1046764170.

The spelling of 4905241632 in words is "four billion, nine hundred five million, two hundred forty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 5677363 11354726 17032089 22709452 34064178 45418904 51096267 68128356 90837808 102192534 136256712 153288801 181675616 204385068 272513424 306577602 408770136 545026848 613155204 817540272 1226310408 1635080544 2452620816 4905241632