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52540768 = 2571631439
BaseRepresentation
bin1100100001101…
…1010101100000
310122212100101101
43020123111200
5101422301033
65114044144
71205406040
oct310332540
9118770341
1052540768
1127726725
1215719654
13ab67a17
146d99720
15492c97d
hex321b560

52540768 has 48 divisors (see below), whose sum is σ = 119024640. Its totient is φ = 22363776.

The previous prime is 52540759. The next prime is 52540771. The reversal of 52540768 is 86704525.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35793 + ... + 37231.

It is an arithmetic number, because the mean of its divisors is an integer number (2479680).

Almost surely, 252540768 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 52540768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59512320).

52540768 is an abundant number, since it is smaller than the sum of its proper divisors (66483872).

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

52540768 is a wasteful number, since it uses less digits than its factorization.

52540768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1619 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 37.

The square root of 52540768 is about 7248.5010864316. The cubic root of 52540768 is about 374.5405169345.

The spelling of 52540768 in words is "fifty-two million, five hundred forty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 163 224 326 652 1141 1304 1439 2282 2608 2878 4564 5216 5756 9128 10073 11512 18256 20146 23024 36512 40292 46048 80584 161168 234557 322336 469114 938228 1641899 1876456 3283798 3752912 6567596 7505824 13135192 26270384 52540768