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612538080 = 253571116573
BaseRepresentation
bin100100100000101…
…001011011100000
31120200121011021120
4210200221123200
52223302204310
6140440452240
721115326210
oct4440513340
91520534246
10612538080
11294841a20
1215117a080
1399b9878b
145b4cc240
1538b97b70
hex248296e0

612538080 has 192 divisors, whose sum is σ = 2405749248. Its totient is φ = 127272960.

The previous prime is 612538079. The next prime is 612538099. The reversal of 612538080 is 80835216.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28674 + ... + 45246.

It is an arithmetic number, because the mean of its divisors is an integer number (12529944).

Almost surely, 2612538080 is an apocalyptic number.

612538080 is a gapful number since it is divisible by the number (60) 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 612538080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202874624).

612538080 is an abundant number, since it is smaller than the sum of its proper divisors (1793211168).

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

612538080 is a wasteful number, since it uses less digits than its factorization.

612538080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16609 (or 16601 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 612538080 is about 24749.5066617498. The cubic root of 612538080 is about 849.2672254437.

The spelling of 612538080 in words is "six hundred twelve million, five hundred thirty-eight thousand, eighty".