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52978608 = 24322331579
BaseRepresentation
bin1100101000011…
…0001110110000
310200200120222200
43022012032300
5102030303413
65131303200
71212211404
oct312061660
9120616880
1052978608
11279a5681
12158aab00
13ac8c0b7
147071104
1549b7573
hex32863b0

52978608 has 60 divisors (see below), whose sum is σ = 148997160. Its totient is φ = 17572608.

The previous prime is 52978577. The next prime is 52978609. The reversal of 52978608 is 80687925.

It is not an unprimeable number, because it can be changed into a prime (52978609) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 32763 + ... + 34341.

It is an arithmetic number, because the mean of its divisors is an integer number (2483286).

Almost surely, 252978608 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 52978608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74498580).

52978608 is an abundant number, since it is smaller than the sum of its proper divisors (96018552).

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

52978608 is a wasteful number, since it uses less digits than its factorization.

52978608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1826 (or 1817 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 52978608 is about 7278.6405324071. The cubic root of 52978608 is about 375.5780312220.

The spelling of 52978608 in words is "fifty-two million, nine hundred seventy-eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 233 466 699 932 1398 1579 1864 2097 2796 3158 3728 4194 4737 5592 6316 8388 9474 11184 12632 14211 16776 18948 25264 28422 33552 37896 56844 75792 113688 227376 367907 735814 1103721 1471628 2207442 2943256 3311163 4414884 5886512 6622326 8829768 13244652 17659536 26489304 52978608