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52789968 = 2434711232
BaseRepresentation
bin1100100101100…
…0001011010000
310200100000020000
43021120023100
5102003234333
65123250000
71210464420
oct311301320
9120300200
1052789968
1127886980
1215819900
13ac2428a
147022480
15497b713
hex32582d0

52789968 has 300 divisors, whose sum is σ = 199133088. Its totient is φ = 13115520.

The previous prime is 52789967. The next prime is 52789969. The reversal of 52789968 is 86998725.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (52789967) and next prime (52789969).

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (2177280) is a multiple of the sum of its prime factors (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52789967) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2295205 + ... + 2295227.

Almost surely, 252789968 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 52789968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99566544).

52789968 is an abundant number, since it is smaller than the sum of its proper divisors (146343120).

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

52789968 is a wasteful number, since it uses less digits than its factorization.

52789968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 46 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The square root of 52789968 is about 7265.6705127607. The cubic root of 52789968 is about 375.1317297207.

The spelling of 52789968 in words is "fifty-two million, seven hundred eighty-nine thousand, nine hundred sixty-eight".