Search a number
-
+
52975440 = 24325723457
BaseRepresentation
bin1100101000010…
…1011101010000
310200200102122100
43022011131100
5102030203230
65131240400
71212166230
oct312053520
9120612570
1052975440
11279a3261
12158a9100
13ac8a81b
14706dcc0
1549b6660
hex3285750

52975440 has 240 divisors, whose sum is σ = 212629248. Its totient is φ = 11556864.

The previous prime is 52975423. The next prime is 52975469. The reversal of 52975440 is 4457925.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 52975395 and 52975404.

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 47 ways as a sum of consecutive naturals, for example, 115692 + ... + 116148.

Almost surely, 252975440 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 52975440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106314624).

52975440 is an abundant number, since it is smaller than the sum of its proper divisors (159653808).

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

52975440 is a wasteful number, since it uses less digits than its factorization.

52975440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 52975440 is about 7278.4229060972. The cubic root of 52975440 is about 375.5705448360.

The spelling of 52975440 in words is "fifty-two million, nine hundred seventy-five thousand, four hundred forty".