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4983205632 = 28326924121
BaseRepresentation
bin1001010010000010…
…11010111100000000
3110212021210002000120
410221001122330000
540201200040012
62142251220240
7234326356206
oct45101327400
913767702016
104983205632
112127987169
12b70a47680
1361552b5b2
14353b6d076
151e273a58c
hex12905af00

4983205632 has 72 divisors (see below), whose sum is σ = 13312449360. Its totient is φ = 1654824960.

The previous prime is 4983205627. The next prime is 4983205637. The reversal of 4983205632 is 2365023894.

It is an interprime number because it is at equal distance from previous prime (4983205627) and next prime (4983205637).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4983205637) 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, 194532 + ... + 218652.

It is an arithmetic number, because the mean of its divisors is an integer number (184895130).

Almost surely, 24983205632 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 4983205632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6656224680).

4983205632 is an abundant number, since it is smaller than the sum of its proper divisors (8329243728).

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

4983205632 is a wasteful number, since it uses less digits than its factorization.

4983205632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24409 (or 24395 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The square root of 4983205632 is about 70591.8241158280. The cubic root of 4983205632 is about 1708.0592680905.

The spelling of 4983205632 in words is "four billion, nine hundred eighty-three million, two hundred five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 269 384 538 768 807 1076 1614 2152 3228 4304 6456 8608 12912 17216 24121 25824 34432 48242 51648 68864 72363 96484 103296 144726 192968 206592 289452 385936 578904 771872 1157808 1543744 2315616 3087488 4631232 6174976 6488549 9262464 12977098 18524928 19465647 25954196 38931294 51908392 77862588 103816784 155725176 207633568 311450352 415267136 622900704 830534272 1245801408 1661068544 2491602816 4983205632