Search a number
-
+
4755948824 = 2311193191757
BaseRepresentation
bin1000110110111101…
…00000010100011000
3110021110011020021202
410123132200110120
534220010330244
62103532253332
7225566620004
oct43336402430
913243136252
104755948824
112020677820
12b08911248
135aa41cb03
143318d3704
151cc7ea04e
hex11b7a0518

4755948824 has 64 divisors (see below), whose sum is σ = 10570521600. Its totient is φ = 1981929600.

The previous prime is 4755948817. The next prime is 4755948829. The reversal of 4755948824 is 4288495574.

It is a self number, because there is not a number n which added to its sum of digits gives 4755948824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4755948829) 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, 5954 + ... + 97710.

It is an arithmetic number, because the mean of its divisors is an integer number (165164400).

Almost surely, 24755948824 is an apocalyptic number.

4755948824 is a gapful number since it is divisible by the number (44) 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 4755948824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5285260800).

4755948824 is an abundant number, since it is smaller than the sum of its proper divisors (5814572776).

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

4755948824 is a wasteful number, since it uses less digits than its factorization.

4755948824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91824 (or 91820 counting only the distinct ones).

The product of its digits is 12902400, while the sum is 56.

The square root of 4755948824 is about 68963.3875618070. The cubic root of 4755948824 is about 1681.6891580187.

The spelling of 4755948824 in words is "four billion, seven hundred fifty-five million, nine hundred forty-eight thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 11 19 22 31 38 44 62 76 88 124 152 209 248 341 418 589 682 836 1178 1364 1672 2356 2728 4712 6479 12958 25916 51832 91757 183514 367028 734056 1009327 1743383 2018654 2844467 3486766 4037308 5688934 6973532 8074616 11377868 13947064 19177213 22755736 31289137 38354426 54044873 62578274 76708852 108089746 125156548 153417704 216179492 250313096 432358984 594493603 1188987206 2377974412 4755948824