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74494080 = 27355479
BaseRepresentation
bin1000111000010…
…11000010000000
312012011200200000
410130023002000
5123032302310
611220400000
71563121623
oct434130200
9165150600
1074494080
1139060561
1220b46000
131258324b
149c71dba
1568174c0
hex470b080

74494080 has 192 divisors, whose sum is σ = 267321600. Its totient is φ = 19823616.

The previous prime is 74494073. The next prime is 74494081. The reversal of 74494080 is 8049447.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (74494081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155281 + ... + 155759.

It is an arithmetic number, because the mean of its divisors is an integer number (1392300).

Almost surely, 274494080 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 74494080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133660800).

74494080 is an abundant number, since it is smaller than the sum of its proper divisors (192827520).

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

74494080 is an equidigital number, since it uses as much as digits as its factorization.

74494080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 74494080 is about 8630.9953076108. The cubic root of 74494080 is about 420.7659492367.

The spelling of 74494080 in words is "seventy-four million, four hundred ninety-four thousand, eighty".