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542463480 = 233951353
BaseRepresentation
bin100000010101010…
…101010111111000
31101210202000000000
4200111111113320
52102332312410
6125454513000
716304602116
oct4025252770
91353660000
10542463480
1125922a929
12131805760
1388502010
145208aab6
1532954dc0
hex205555f8

542463480 has 320 divisors, whose sum is σ = 2008812960. Its totient is φ = 131010048.

The previous prime is 542463469. The next prime is 542463491. The reversal of 542463480 is 84364245.

542463480 is a `hidden beast` number, since 542 + 4 + 6 + 34 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (542463469) and next prime (542463491).

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 79 ways as a sum of consecutive naturals, for example, 10235134 + ... + 10235186.

Almost surely, 2542463480 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 542463480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004406480).

542463480 is an abundant number, since it is smaller than the sum of its proper divisors (1466349480).

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

542463480 is an equidigital number, since it uses as much as digits as its factorization.

542463480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 76 counting only the distinct ones).

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

The square root of 542463480 is about 23290.8454118780. The cubic root of 542463480 is about 815.5617239854.

The spelling of 542463480 in words is "five hundred forty-two million, four hundred sixty-three thousand, four hundred eighty".