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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".

Divisors: 1 2 3 4 6 8 9 12 13 16 17 18 24 26 32 34 36 39 48 51 52 68 72 78 96 102 104 117 136 144 153 156 204 208 221 234 272 288 306 312 408 416 442 468 544 612 624 663 816 884 936 1171 1224 1248 1326 1632 1768 1872 1989 2342 2448 2652 3513 3536 3744 3978 4684 4896 5304 7026 7072 7956 9368 10539 10608 14052 15223 15912 18736 19907 21078 21216 28104 30446 31824 37472 39814 42156 45669 56208 59721 60892 63648 79628 84312 91338 112416 119442 121784 137007 159256 168624 179163 182676 238884 243568 258791 274014 318512 337248 358326 365352 477768 487136 517582 548028 637024 716652 730704 776373 955536 1035164 1096056 1433304 1461408 1552746 1911072 2070328 2192112 2329119 2866608 3105492 4140656 4384224 4658238 5733216 6210984 8281312 9316476 12421968 18632952 24843936 37265904 74531808