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74473080 = 233511223223
BaseRepresentation
bin1000111000001…
…01111001111000
312012010121212020
410130011321320
5123031114310
611220114440
71563003453
oct434057170
9165117766
1074473080
1139046800
1220b35a20
1312576816
149c6849a
156811170
hex4705e78

74473080 has 192 divisors, whose sum is σ = 257402880. Its totient is φ = 17191680.

The previous prime is 74473079. The next prime is 74473081. The reversal of 74473080 is 8037447.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (74473079) and next prime (74473081).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74473081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 333849 + ... + 334071.

It is an arithmetic number, because the mean of its divisors is an integer number (1340640).

Almost surely, 274473080 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 74473080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128701440).

74473080 is an abundant number, since it is smaller than the sum of its proper divisors (182929800).

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

74473080 is a wasteful number, since it uses less digits than its factorization.

74473080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 74473080 is about 8629.7786761886. The cubic root of 74473080 is about 420.7264073234.

It can be divided in two parts, 744730 and 80, that added together give a triangular number (744810 = T1220).

The spelling of 74473080 in words is "seventy-four million, four hundred seventy-three thousand, eighty".