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74083828 = 22713238849
BaseRepresentation
bin1000110101001…
…10110111110100
312011101211220111
410122212313310
5122431140303
611203512404
71556462560
oct432466764
9164354814
1074083828
1138900305
1220988704
131246b5b0
149ba66a0
156785b6d
hex46a6df4

74083828 has 48 divisors (see below), whose sum is σ = 166521600. Its totient is φ = 28030464.

The previous prime is 74083781. The next prime is 74083853. The reversal of 74083828 is 82838047.

It is a super-2 number, since 2×740838282 = 10976827142267168, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3948 + ... + 12796.

It is an arithmetic number, because the mean of its divisors is an integer number (3469200).

Almost surely, 274083828 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 74083828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83260800).

74083828 is an abundant number, since it is smaller than the sum of its proper divisors (92437772).

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

74083828 is a wasteful number, since it uses less digits than its factorization.

74083828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8896 (or 8894 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

The square root of 74083828 is about 8607.1962914761. The cubic root of 74083828 is about 419.9921162541.

It can be divided in two parts, 7408 and 3828, that added together give a square (11236 = 1062).

The spelling of 74083828 in words is "seventy-four million, eighty-three thousand, eight hundred twenty-eight".

Divisors: 1 2 4 7 13 14 23 26 28 46 52 91 92 161 182 299 322 364 598 644 1196 2093 4186 8372 8849 17698 35396 61943 115037 123886 203527 230074 247772 407054 460148 805259 814108 1424689 1610518 2645851 2849378 3221036 5291702 5698756 10583404 18520957 37041914 74083828