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74531808 = 253213171171
BaseRepresentation
bin1000111000101…
…00001111100000
312012020121102100
410130110033200
5123040004213
611221250400
71563336621
oct434241740
9165217370
1074531808
113908693a
1220b63a00
1312597480
149c81a48
156823773
hex47143e0

74531808 has 144 divisors (see below), whose sum is σ = 241886736. Its totient is φ = 21565440.

The previous prime is 74531797. The next prime is 74531861. The reversal of 74531808 is 80813547.

It is a tau number, because it is divible by the number of its divisors (144).

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

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 23 ways as a sum of consecutive naturals, for example, 63063 + ... + 64233.

It is an arithmetic number, because the mean of its divisors is an integer number (1679769).

Almost surely, 274531808 is an apocalyptic number.

74531808 is a gapful number since it is divisible by the number (78) 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 74531808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120943368).

74531808 is an abundant number, since it is smaller than the sum of its proper divisors (167354928).

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

74531808 is a wasteful number, since it uses less digits than its factorization.

74531808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 74531808 is about 8633.1806421504. The cubic root of 74531808 is about 420.8369704442.

It can be divided in two parts, 7453 and 1808, that added together give a cube (9261 = 213).

The spelling of 74531808 in words is "seventy-four million, five hundred thirty-one thousand, eight hundred eight".