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534426480 = 243257107991
BaseRepresentation
bin11111110110101…
…011001101110000
31101020121200022100
4133312223031300
52043303121410
6125010340400
716146356460
oct3766531560
91336550270
10534426480
11254740585
1212ab8a700
1386949ab3
1450d97ba0
1531db88c0
hex1fdab370

534426480 has 240 divisors, whose sum is σ = 2072438784. Its totient is φ = 120890880.

The previous prime is 534426469. The next prime is 534426481. The reversal of 534426480 is 84624435.

534426480 is a `hidden beast` number, since 5 + 3 + 4 + 4 + 2 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×5344264802 = 571223325050380800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (534426481) 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, 538785 + ... + 539775.

Almost surely, 2534426480 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 534426480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036219392).

534426480 is an abundant number, since it is smaller than the sum of its proper divisors (1538012304).

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

534426480 is a wasteful number, since it uses less digits than its factorization.

534426480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 534426480 is about 23117.6659721521. The cubic root of 534426480 is about 811.5139495326.

The spelling of 534426480 in words is "five hundred thirty-four million, four hundred twenty-six thousand, four hundred eighty".