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516003426 = 233103113821
BaseRepresentation
bin11110110000011…
…001011001100010
31022221221200122000
4132300121121202
52024044102201
6123111424430
715533646111
oct3660313142
91287850560
10516003426
112452a8014
12124985116
1382b99393
144c75dc78
1530479d86
hex1ec19662

516003426 has 64 divisors (see below), whose sum is σ = 1169475840. Its totient is φ = 168618240.

The previous prime is 516003421. The next prime is 516003427. The reversal of 516003426 is 624300615.

516003426 is a `hidden beast` number, since 5 + 1 + 600 + 34 + 26 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 516003426.

It is not an unprimeable number, because it can be changed into a prime (516003421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 628096 + ... + 628916.

It is an arithmetic number, because the mean of its divisors is an integer number (18273060).

Almost surely, 2516003426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516003426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584737920).

516003426 is an abundant number, since it is smaller than the sum of its proper divisors (653472414).

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

516003426 is a wasteful number, since it uses less digits than its factorization.

516003426 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 516003426 is about 22715.7087936960. The cubic root of 516003426 is about 802.0797065492.

The spelling of 516003426 in words is "five hundred sixteen million, three thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 54 103 113 206 226 309 339 618 678 821 927 1017 1642 1854 2034 2463 2781 3051 4926 5562 6102 7389 11639 14778 22167 23278 34917 44334 69834 84563 92773 104751 169126 185546 209502 253689 278319 314253 507378 556638 628506 761067 834957 1522134 1669914 2283201 2504871 4566402 5009742 9555619 19111238 28666857 57333714 86000571 172001142 258001713 516003426