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52422976 = 261922269
BaseRepresentation
bin1100011111111…
…0100101000000
310122122100210201
43013332211000
5101410013401
65111334544
71204405444
oct307764500
9118570721
1052422976
1127656181
1215681454
13ab26218
146d68824
154907b01
hex31fe940

52422976 has 42 divisors (see below), whose sum is σ = 109838490. Its totient is φ = 24820992.

The previous prime is 52422967. The next prime is 52423027. The reversal of 52422976 is 67922425.

It is a happy number.

52422976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 31629376 + 20793600 = 5624^2 + 4560^2 .

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 21970 + ... + 24238.

Almost surely, 252422976 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 52422976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54919245).

52422976 is an abundant number, since it is smaller than the sum of its proper divisors (57415514).

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

52422976 is a wasteful number, since it uses less digits than its factorization.

52422976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2319 (or 2290 counting only the distinct ones).

The product of its digits is 60480, while the sum is 37.

The square root of 52422976 is about 7240.3712611992. The cubic root of 52422976 is about 374.2604113523.

The spelling of 52422976 in words is "fifty-two million, four hundred twenty-two thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 361 608 722 1216 1444 2269 2888 4538 5776 9076 11552 18152 23104 36304 43111 72608 86222 145216 172444 344888 689776 819109 1379552 1638218 2759104 3276436 6552872 13105744 26211488 52422976