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5352625584 = 24331929113199
BaseRepresentation
bin1001111110000101…
…01001010110110000
3111211000220112221000
410333002221112300
541430233004314
62243045202000
7246433365255
oct47702512660
914730815830
105352625584
1122a7465909
121054700300
13673c23b97
1438ac5342c
15214dad209
hex13f0a95b0

5352625584 has 320 divisors, whose sum is σ = 16963200000. Its totient is φ = 1609445376.

The previous prime is 5352625567. The next prime is 5352625631. The reversal of 5352625584 is 4855262535.

5352625584 is a `hidden beast` number, since 5 + 3 + 5 + 2 + 62 + 5 + 584 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26897517 + ... + 26897715.

It is an arithmetic number, because the mean of its divisors is an integer number (53010000).

Almost surely, 25352625584 is an apocalyptic number.

5352625584 is a gapful number since it is divisible by the number (54) 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 5352625584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8481600000).

5352625584 is an abundant number, since it is smaller than the sum of its proper divisors (11610574416).

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

5352625584 is a wasteful number, since it uses less digits than its factorization.

5352625584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 365 counting only the distinct ones).

The product of its digits is 1440000, while the sum is 45.

The square root of 5352625584 is about 73161.6401128351. The cubic root of 5352625584 is about 1749.2650610816.

The spelling of 5352625584 in words is "five billion, three hundred fifty-two million, six hundred twenty-five thousand, five hundred eighty-four".