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52738560 = 293357109
BaseRepresentation
bin1100100100101…
…1101000000000
310200020101201000
43021023220000
5102000113220
65122212000
71210161510
oct311135000
9120211630
1052738560
1127851296
12157b4000
13ac06a64
14700b840
15496b390
hex324ba00

52738560 has 320 divisors, whose sum is σ = 216057600. Its totient is φ = 11943936.

The previous prime is 52738549. The next prime is 52738571. The reversal of 52738560 is 6583725.

It is an interprime number because it is at equal distance from previous prime (52738549) and next prime (52738571).

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 483786 + ... + 483894.

It is an arithmetic number, because the mean of its divisors is an integer number (675180).

Almost surely, 252738560 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 52738560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108028800).

52738560 is an abundant number, since it is smaller than the sum of its proper divisors (163319040).

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

52738560 is a wasteful number, since it uses less digits than its factorization.

52738560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 126 counting only the distinct ones).

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

The square root of 52738560 is about 7262.1319183832. The cubic root of 52738560 is about 375.0099197376.

The spelling of 52738560 in words is "fifty-two million, seven hundred thirty-eight thousand, five hundred sixty".