Search a number
-
+
2976425540 = 2251118174747
BaseRepresentation
bin1011000101101000…
…1010011001000100
321200102200002020222
42301122022121010
522043431104130
61211203043512
7133521125324
oct26132123104
97612602228
102976425540
111298129620
126b0970598
1338584c15a
1420342b284
15126488ce5
hexb168a644

2976425540 has 48 divisors (see below), whose sum is σ = 6856484544. Its totient is φ = 1076342400.

The previous prime is 2976425513. The next prime is 2976425549. The reversal of 2976425540 is 455246792.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 2976425491 and 2976425500.

It is not an unprimeable number, because it can be changed into a prime (2976425549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2447 + ... + 77193.

It is an arithmetic number, because the mean of its divisors is an integer number (142843428).

Almost surely, 22976425540 is an apocalyptic number.

2976425540 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 2976425540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3428242272).

2976425540 is an abundant number, since it is smaller than the sum of its proper divisors (3880059004).

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

2976425540 is a wasteful number, since it uses less digits than its factorization.

2976425540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74948 (or 74946 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 44.

The square root of 2976425540 is about 54556.6269118610. The cubic root of 2976425540 is about 1438.4618252635.

The spelling of 2976425540 in words is "two billion, nine hundred seventy-six million, four hundred twenty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 181 220 362 724 905 1810 1991 3620 3982 7964 9955 19910 39820 74747 149494 298988 373735 747470 822217 1494940 1644434 3288868 4111085 8222170 13529207 16444340 27058414 54116828 67646035 135292070 148821277 270584140 297642554 595285108 744106385 1488212770 2976425540