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542614464 = 2634719787
BaseRepresentation
bin100000010101111…
…010001111000000
31101211000200010000
4200111322033000
52102402130324
6125502040000
716306101240
oct4025721700
91354020100
10542614464
11259323307
12131879000
1388555962
14520c9b20
15329849c9
hex2057a3c0

542614464 has 280 divisors, whose sum is σ = 1937471360. Its totient is φ = 146686464.

The previous prime is 542614433. The next prime is 542614481. The reversal of 542614464 is 464416245.

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 39 ways as a sum of consecutive naturals, for example, 689079 + ... + 689865.

Almost surely, 2542614464 is an apocalyptic number.

542614464 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 542614464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (968735680).

542614464 is an abundant number, since it is smaller than the sum of its proper divisors (1394856896).

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

542614464 is a wasteful number, since it uses less digits than its factorization.

542614464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837 (or 818 counting only the distinct ones).

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

The square root of 542614464 is about 23294.0864598722. The cubic root of 542614464 is about 815.6373821347.

The spelling of 542614464 in words is "five hundred forty-two million, six hundred fourteen thousand, four hundred sixty-four".