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52024896 = 26337111723
BaseRepresentation
bin1100011001110…
…1011001000000
310121220010202000
43012131121000
5101304244041
65055024000
71201130040
oct306353100
9117803660
1052024896
1127404090
121550b000
13aa16c81
146ca3720
154879bb6
hex319d640

52024896 has 448 divisors, whose sum is σ = 210677760. Its totient is φ = 12165120.

The previous prime is 52024891. The next prime is 52024909. The reversal of 52024896 is 69842025.

It is a happy number.

52024896 is a `hidden beast` number, since 520 + 2 + 48 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a self number, because there is not a number n which added to its sum of digits gives 52024896.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52024891) 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 63 ways as a sum of consecutive naturals, for example, 2261941 + ... + 2261963.

Almost surely, 252024896 is an apocalyptic number.

52024896 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52024896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105338880).

52024896 is an abundant number, since it is smaller than the sum of its proper divisors (158652864).

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

52024896 is a wasteful number, since it uses less digits than its factorization.

52024896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 52024896 is about 7212.8285713720. The cubic root of 52024896 is about 373.3106732278.

The spelling of 52024896 in words is "fifty-two million, twenty-four thousand, eight hundred ninety-six".