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642534552 = 2333111943331
BaseRepresentation
bin100110010011000…
…100110010011000
31122210001010201000
4212103010302120
52303442101202
6143431425000
721631311402
oct4623046230
91583033630
10642534552
112aa76a7a0
1215b225160
13a316bc7a
1461499b72
153b62091c
hex264c4c98

642534552 has 256 divisors, whose sum is σ = 2103552000. Its totient is φ = 179625600.

The previous prime is 642534481. The next prime is 642534553. The reversal of 642534552 is 255435246.

642534552 is a `hidden beast` number, since 642 + 5 + 3 + 4 + 5 + 5 + 2 = 666.

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 (642534553) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1941027 + ... + 1941357.

It is an arithmetic number, because the mean of its divisors is an integer number (8217000).

Almost surely, 2642534552 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 642534552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051776000).

642534552 is an abundant number, since it is smaller than the sum of its proper divisors (1461017448).

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

642534552 is a wasteful number, since it uses less digits than its factorization.

642534552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 409 counting only the distinct ones).

The product of its digits is 144000, while the sum is 36.

The square root of 642534552 is about 25348.2652660887. The cubic root of 642534552 is about 862.9099873133.

Adding to 642534552 its reverse (255435246), we get a palindrome (897969798).

The spelling of 642534552 in words is "six hundred forty-two million, five hundred thirty-four thousand, five hundred fifty-two".