Search a number
-
+
2450797440 = 2735713383
BaseRepresentation
bin1001001000010100…
…0011001110000000
320022210121102001120
42102011003032000
520004401004230
61043105032240
7114506302020
oct22205031600
96283542046
102450797440
111048458433
12584925680
13300993000
141936c3a80
15e525c310
hex92143380

2450797440 has 512 divisors, whose sum is σ = 9788083200. Its totient is φ = 510861312.

The previous prime is 2450797439. The next prime is 2450797451. The reversal of 2450797440 is 447970542.

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 = 2450797392 and 2450797401.

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, 29527639 + ... + 29527721.

It is an arithmetic number, because the mean of its divisors is an integer number (19117350).

Almost surely, 22450797440 is an apocalyptic number.

2450797440 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 2450797440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4894041600).

2450797440 is an abundant number, since it is smaller than the sum of its proper divisors (7337285760).

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

2450797440 is an equidigital number, since it uses as much as digits as its factorization.

2450797440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The square root of 2450797440 is about 49505.5293881401. The cubic root of 2450797440 is about 1348.2459964254.

The spelling of 2450797440 in words is "two billion, four hundred fifty million, seven hundred ninety-seven thousand, four hundred forty".