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4938082032 = 2431310376831
BaseRepresentation
bin1001001100101010…
…10010011011110000
3110202010212120002010
410212111102123300
540103122111112
62134000122520
7233241001422
oct44625223360
913663776063
104938082032
112104467134
12b59906440
1360908c940
1434bb84812
151dd7c563c
hex1265526f0

4938082032 has 80 divisors (see below), whose sum is σ = 13871556608. Its totient is φ = 1504638720.

The previous prime is 4938081997. The next prime is 4938082043. The reversal of 4938082032 is 2302808394.

It is a super-2 number, since 2×49380820322 = 48769308309522498048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25857 + ... + 102687.

Almost surely, 24938082032 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 4938082032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6935778304).

4938082032 is an abundant number, since it is smaller than the sum of its proper divisors (8933474576).

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

4938082032 is a wasteful number, since it uses less digits than its factorization.

4938082032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76958 (or 76952 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 4938082032 is about 70271.4880445832. The cubic root of 4938082032 is about 1702.8880587550. Note that the first 3 decimals are identical.

The spelling of 4938082032 in words is "four billion, nine hundred thirty-eight million, eighty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 103 104 156 206 208 309 312 412 618 624 824 1236 1339 1648 2472 2678 4017 4944 5356 8034 10712 16068 21424 32136 64272 76831 153662 230493 307324 460986 614648 921972 998803 1229296 1843944 1997606 2996409 3687888 3995212 5992818 7913593 7990424 11985636 15827186 15980848 23740779 23971272 31654372 47481558 47942544 63308744 94963116 102876709 126617488 189926232 205753418 308630127 379852464 411506836 617260254 823013672 1234520508 1646027344 2469041016 4938082032