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51140076 = 223132151167
BaseRepresentation
bin1100001100010…
…1010111101100
310120020011222220
43003011113230
5101042440301
65024035340
71160453301
oct303052754
9116204886
1051140076
112695a329
1215162b50
13a797300
146b130a8
154752936
hex30c55ec

51140076 has 72 divisors (see below), whose sum is σ = 130846464. Its totient is φ = 15537600.

The previous prime is 51140069. The next prime is 51140083. The reversal of 51140076 is 67004115.

51140076 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (51140069) and next prime (51140083).

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 23 ways as a sum of consecutive naturals, for example, 306145 + ... + 306311.

It is an arithmetic number, because the mean of its divisors is an integer number (1817312).

Almost surely, 251140076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51140076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65423232).

51140076 is an abundant number, since it is smaller than the sum of its proper divisors (79706388).

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

51140076 is a wasteful number, since it uses less digits than its factorization.

51140076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 51140076 is about 7151.2289852864. The cubic root of 51140076 is about 371.1821842142.

The spelling of 51140076 in words is "fifty-one million, one hundred forty thousand, seventy-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 151 156 167 169 302 334 338 453 501 507 604 668 676 906 1002 1014 1812 1963 2004 2028 2171 3926 4342 5889 6513 7852 8684 11778 13026 23556 25217 25519 26052 28223 50434 51038 56446 75651 76557 84669 100868 102076 112892 151302 153114 169338 302604 306228 327821 338676 655642 983463 1311284 1966926 3933852 4261673 8523346 12785019 17046692 25570038 51140076