Search a number
-
+
4958724096 = 213354753
BaseRepresentation
bin1001001111001000…
…00010000000000000
3110210120201021200000
410213210002000000
540123413132341
62140014400000
7233611313364
oct44744020000
913716637600
104958724096
112115085897
12b64800000
13610439391
143507d92a4
151e05018b6
hex127902000

4958724096 has 336 divisors, whose sum is σ = 15457163904. Its totient is φ = 1587216384.

The previous prime is 4958724083. The next prime is 4958724137. The reversal of 4958724096 is 6904278594.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93560806 + ... + 93560858.

It is an arithmetic number, because the mean of its divisors is an integer number (46003464).

Almost surely, 24958724096 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 4958724096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7728581952).

4958724096 is an abundant number, since it is smaller than the sum of its proper divisors (10498439808).

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

4958724096 is an frugal number, since it uses more digits than its factorization.

4958724096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 4958724096 is about 70418.2085543221. The cubic root of 4958724096 is about 1705.2575521583.

The spelling of 4958724096 in words is "four billion, nine hundred fifty-eight million, seven hundred twenty-four thousand, ninety-six".