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5354889408 = 26321131137199
BaseRepresentation
bin1001111110010110…
…10010000011000000
3111211012011120022100
410333023102003000
541431322430113
62243205510400
7246461544321
oct47713220300
914735146270
105354889408
1122a8771740
121055412400
1367453741b
1438b282448
152151a8d73
hex13f2d20c0

5354889408 has 336 divisors, whose sum is σ = 17497958400. Its totient is φ = 1551052800.

The previous prime is 5354889403. The next prime is 5354889409. The reversal of 5354889408 is 8049884535.

5354889408 is a `hidden beast` number, since 5 + 3 + 548 + 8 + 94 + 0 + 8 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (5354889401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26908893 + ... + 26909091.

Almost surely, 25354889408 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 5354889408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8748979200).

5354889408 is an abundant number, since it is smaller than the sum of its proper divisors (12143068992).

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

5354889408 is a wasteful number, since it uses less digits than its factorization.

5354889408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The square root of 5354889408 is about 73177.1098636725. The cubic root of 5354889408 is about 1749.5116360266.

The spelling of 5354889408 in words is "five billion, three hundred fifty-four million, eight hundred eighty-nine thousand, four hundred eight".