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74675016 = 233213217192
BaseRepresentation
bin1000111001101…
…11001101001000
312012111212212100
410130313031020
5123104100031
611224313400
71564504263
oct434671510
9165455770
1074675016
1139174499
1221012860
1312617700
149cbbcda
156850de6
hex4737348

74675016 has 216 divisors, whose sum is σ = 244727730. Its totient is φ = 20487168.

The previous prime is 74675011. The next prime is 74675021. The reversal of 74675016 is 61057647.

It is an interprime number because it is at equal distance from previous prime (74675011) and next prime (74675021).

It can be written as a sum of positive squares in 3 ways, for example, as 48358116 + 26316900 = 6954^2 + 5130^2 .

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 (74675011) 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 53 ways as a sum of consecutive naturals, for example, 3930255 + ... + 3930273.

Almost surely, 274675016 is an apocalyptic number.

74675016 is a gapful number since it is divisible by the number (76) 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 74675016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122363865).

74675016 is an abundant number, since it is smaller than the sum of its proper divisors (170052714).

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

74675016 is a wasteful number, since it uses less digits than its factorization.

74675016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 74675016 is about 8641.4707081607. The cubic root of 74675016 is about 421.1063349111.

The spelling of 74675016 in words is "seventy-four million, six hundred seventy-five thousand, sixteen".