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52528746240 = 28355281601
BaseRepresentation
bin110000111010111101…
…010000111100000000
312000120211002210100000
4300322331100330000
51330034324334430
640044213200000
73536465655525
oct607275207400
9160524083300
1052528746240
1120306120583
12a21b930000
134c51925589
14278450514c
15157689ce60
hexc3af50f00

52528746240 has 432 divisors, whose sum is σ = 189460698336. Its totient is φ = 13934592000.

The previous prime is 52528746223. The next prime is 52528746269. The reversal of 52528746240 is 4264782525.

52528746240 is a `hidden beast` number, since 52 + 528 + 74 + 6 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87401940 + ... + 87402540.

Almost surely, 252528746240 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 52528746240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94730349168).

52528746240 is an abundant number, since it is smaller than the sum of its proper divisors (136931952096).

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

52528746240 is an equidigital number, since it uses as much as digits as its factorization.

52528746240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 52528746240 in words is "fifty-two billion, five hundred twenty-eight million, seven hundred forty-six thousand, two hundred forty".