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51426048 = 283292309
BaseRepresentation
bin1100010000101…
…1001100000000
310120202201021110
43010023030000
5101131113143
65034123320
71163054112
oct304131400
9116681243
1051426048
1127035173
1215280540
13a86751b
146b893b2
1547ac533
hex310b300

51426048 has 72 divisors (see below), whose sum is σ = 141649200. Its totient is φ = 16543744.

The previous prime is 51426047. The next prime is 51426073. The reversal of 51426048 is 84062415.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (51426043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21118 + ... + 23426.

It is an arithmetic number, because the mean of its divisors is an integer number (1967350).

Almost surely, 251426048 is an apocalyptic number.

51426048 is a gapful number since it is divisible by the number (58) 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 51426048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70824600).

51426048 is an abundant number, since it is smaller than the sum of its proper divisors (90223152).

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

51426048 is a wasteful number, since it uses less digits than its factorization.

51426048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2357 (or 2343 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 51426048 is about 7171.1957161968. The cubic root of 51426048 is about 371.8727741599.

It can be divided in two parts, 514 and 26048, that added together give a palindrome (26562).

The spelling of 51426048 in words is "fifty-one million, four hundred twenty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 464 696 768 928 1392 1856 2309 2784 3712 4618 5568 6927 7424 9236 11136 13854 18472 22272 27708 36944 55416 66961 73888 110832 133922 147776 200883 221664 267844 295552 401766 443328 535688 591104 803532 886656 1071376 1607064 1773312 2142752 3214128 4285504 6428256 8571008 12856512 17142016 25713024 51426048