Search a number
-
+
4979976120 = 233357976791
BaseRepresentation
bin1001010001101010…
…00110011110111000
3110212001200222222000
410220311012132320
540144333213440
62142054101000
7234260045550
oct45065063670
913761628860
104979976120
112126080849
12b6b94a760
1361496a642
1435356c160
151e22ed730
hex128d467b8

4979976120 has 256 divisors, whose sum is σ = 19169740800. Its totient is φ = 1126379520.

The previous prime is 4979976109. The next prime is 4979976137. The reversal of 4979976120 is 216799794.

4979976120 is a `hidden beast` number, since 497 + 9 + 97 + 61 + 2 + 0 = 666.

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 63 ways as a sum of consecutive naturals, for example, 729925 + ... + 736715.

It is an arithmetic number, because the mean of its divisors is an integer number (74881800).

Almost surely, 24979976120 is an apocalyptic number.

4979976120 is a gapful number since it is divisible by the number (40) 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 4979976120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9584870400).

4979976120 is an abundant number, since it is smaller than the sum of its proper divisors (14189764680).

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

4979976120 is a wasteful number, since it uses less digits than its factorization.

4979976120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6915 (or 6905 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The square root of 4979976120 is about 70568.9458614765. The cubic root of 4979976120 is about 1707.6902024473.

The spelling of 4979976120 in words is "four billion, nine hundred seventy-nine million, nine hundred seventy-six thousand, one hundred twenty".