Search a number
-
+
4976104056 = 2337311179307
BaseRepresentation
bin1001010001001100…
…10101001001111000
3110211210102021111020
410220212111021320
540142340312211
62141435102440
7234212121000
oct45046251170
913753367436
104976104056
1121239766a0
12b6a5a1a20
13613c13091
14352c41000
151e1cd6306
hex128995278

4976104056 has 256 divisors, whose sum is σ = 15966720000. Its totient is φ = 1281087360.

The previous prime is 4976104043. The next prime is 4976104069. The reversal of 4976104056 is 6504016794.

It is an interprime number because it is at equal distance from previous prime (4976104043) and next prime (4976104069).

It is a super-2 number, since 2×49761040562 = 49523223152279302272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 4976103999 and 4976104017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16208655 + ... + 16208961.

It is an arithmetic number, because the mean of its divisors is an integer number (62370000).

Almost surely, 24976104056 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 4976104056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7983360000).

4976104056 is an abundant number, since it is smaller than the sum of its proper divisors (10990615944).

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

4976104056 is a wasteful number, since it uses less digits than its factorization.

4976104056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 4976104056 is about 70541.5059096416. The cubic root of 4976104056 is about 1707.2474961584.

The spelling of 4976104056 in words is "four billion, nine hundred seventy-six million, one hundred four thousand, fifty-six".