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2426030516 = 22713411491091
BaseRepresentation
bin1001000010011010…
…0100100110110100
320021002000010020002
42100212210212310
514432030434031
61040422130432
7114055630160
oct22046444664
96232003202
102426030516
1110354816a8
12578580a18
132c8800c20
141902b7ca0
15e2eb8ccb
hex909a49b4

2426030516 has 96 divisors (see below), whose sum is σ = 5393606400. Its totient is φ = 929203200.

The previous prime is 2426030491. The next prime is 2426030539. The reversal of 2426030516 is 6150306242.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2223131 + ... + 2224221.

It is an arithmetic number, because the mean of its divisors is an integer number (56183400).

Almost surely, 22426030516 is an apocalyptic number.

2426030516 is a gapful number since it is divisible by the number (26) 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 2426030516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2696803200).

2426030516 is an abundant number, since it is smaller than the sum of its proper divisors (2967575884).

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

2426030516 is a wasteful number, since it uses less digits than its factorization.

2426030516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1305 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 2426030516 is about 49254.7512022952. The cubic root of 2426030516 is about 1343.6889729602.

Adding to 2426030516 its reverse (6150306242), we get a palindrome (8576336758).

The spelling of 2426030516 in words is "two billion, four hundred twenty-six million, thirty thousand, five hundred sixteen".

Divisors: 1 2 4 7 13 14 26 28 41 52 82 91 149 164 182 287 298 364 533 574 596 1043 1066 1091 1148 1937 2086 2132 2182 3731 3874 4172 4364 6109 7462 7637 7748 12218 13559 14183 14924 15274 24436 27118 28366 30548 42763 44731 54236 56732 79417 85526 89462 99281 158834 162559 171052 178924 198562 313117 317668 325118 397124 555919 581503 626234 650236 1111838 1137913 1163006 1252468 2113267 2223676 2275826 2326012 4070521 4226534 4551652 6664919 8141042 8453068 13329838 14792869 16282084 26659676 29585738 46654433 59171476 86643947 93308866 173287894 186617732 346575788 606507629 1213015258 2426030516