Search a number
-
+
2479389120 = 2632513471409
BaseRepresentation
bin1001001111001000…
…0111100111000000
320101210102000110200
42103302013213000
520034210422440
61050005525200
7115304313465
oct22362074700
96353360420
102479389120
11106260681a
12592413800
13306893c70
1419740766c
15e7a08c30
hex93c879c0

2479389120 has 336 divisors, whose sum is σ = 9386133120. Its totient is φ = 596901888.

The previous prime is 2479389079. The next prime is 2479389137. The reversal of 2479389120 is 219839742.

2479389120 is a `hidden beast` number, since 247 + 9 + 389 + 1 + 20 = 666.

It is a super-2 number, since 2×24793891202 = 12294740816748748800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1758976 + ... + 1760384.

It is an arithmetic number, because the mean of its divisors is an integer number (27934920).

Almost surely, 22479389120 is an apocalyptic number.

2479389120 is a gapful number since it is divisible by the number (20) 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 2479389120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4693066560).

2479389120 is an abundant number, since it is smaller than the sum of its proper divisors (6906744000).

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

2479389120 is a wasteful number, since it uses less digits than its factorization.

2479389120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1492 (or 1479 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 2479389120 is about 49793.4646314152. The cubic root of 2479389120 is about 1353.4687421976.

The spelling of 2479389120 in words is "two billion, four hundred seventy-nine million, three hundred eighty-nine thousand, one hundred twenty".