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68015552 = 261128783
BaseRepresentation
bin1000000110111…
…01010111000000
311201222112210112
410003131113000
5114402444202
610425450452
71454060033
oct403352700
9151875715
1068015552
1135436100
121a940a28
13111254b7
14906701a
155e87b52
hex40dd5c0

68015552 has 42 divisors (see below), whose sum is σ = 148370544. Its totient is φ = 30912640.

The previous prime is 68015503. The next prime is 68015557. The reversal of 68015552 is 25551086.

It is a super-2 number, since 2×680155522 = 9252230627729408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68015557) 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 5 ways as a sum of consecutive naturals, for example, 3353 + ... + 12135.

It is an arithmetic number, because the mean of its divisors is an integer number (3532632).

Almost surely, 268015552 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 68015552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74185272).

68015552 is an abundant number, since it is smaller than the sum of its proper divisors (80354992).

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

68015552 is a wasteful number, since it uses less digits than its factorization.

68015552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8817 (or 8796 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 32.

The square root of 68015552 is about 8247.1541758354. The cubic root of 68015552 is about 408.1966244376.

The spelling of 68015552 in words is "sixty-eight million, fifteen thousand, five hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 968 1936 3872 7744 8783 17566 35132 70264 96613 140528 193226 281056 386452 562112 772904 1062743 1545808 2125486 3091616 4250972 6183232 8501944 17003888 34007776 68015552