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52778976 = 2531374013
BaseRepresentation
bin1100100101010…
…1011111100000
310200022110010220
43021111133200
5102002411401
65123123040
71210420365
oct311253740
9120273126
1052778976
1127879698
1215813480
13ac1c283
14701c46c
154978336
hex32557e0

52778976 has 48 divisors (see below), whose sum is σ = 139590864. Its totient is φ = 17460224.

The previous prime is 52778963. The next prime is 52778977. The reversal of 52778976 is 67987725.

52778976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52778977) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 11146 + ... + 15158.

It is an arithmetic number, because the mean of its divisors is an integer number (2908143).

Almost surely, 252778976 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 52778976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69795432).

52778976 is an abundant number, since it is smaller than the sum of its proper divisors (86811888).

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

52778976 is a wasteful number, since it uses less digits than its factorization.

52778976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4163 (or 4155 counting only the distinct ones).

The product of its digits is 1481760, while the sum is 51.

The square root of 52778976 is about 7264.9140394089. The cubic root of 52778976 is about 375.1056910978.

The spelling of 52778976 in words is "fifty-two million, seven hundred seventy-eight thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 137 274 411 548 822 1096 1644 2192 3288 4013 4384 6576 8026 12039 13152 16052 24078 32104 48156 64208 96312 128416 192624 385248 549781 1099562 1649343 2199124 3298686 4398248 6597372 8796496 13194744 17592992 26389488 52778976