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74480112 = 24327371997
BaseRepresentation
bin1000111000001…
…11100111110000
312012010222111200
410130013213300
5123031330422
611220211200
71563033120
oct434074760
9165128450
1074480112
1139051013
1220b39b00
1312579a95
149c6ac80
1568132ac
hex47079f0

74480112 has 120 divisors (see below), whose sum is σ = 244778976. Its totient is φ = 20694528.

The previous prime is 74480099. The next prime is 74480117. The reversal of 74480112 is 21108447.

74480112 is a `hidden beast` number, since 74 + 480 + 112 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74480117) 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 23 ways as a sum of consecutive naturals, for example, 36298 + ... + 38294.

Almost surely, 274480112 is an apocalyptic number.

74480112 is a gapful number since it is divisible by the number (72) 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 74480112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122389488).

74480112 is an abundant number, since it is smaller than the sum of its proper divisors (170298864).

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

74480112 is a wasteful number, since it uses less digits than its factorization.

74480112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2055 (or 2046 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 74480112 is about 8630.1860930110. The cubic root of 74480112 is about 420.7396490432.

Adding to 74480112 its reverse (21108447), we get a palindrome (95588559).

The spelling of 74480112 in words is "seventy-four million, four hundred eighty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 37 42 48 56 63 72 74 84 111 112 126 144 148 168 222 252 259 296 333 336 444 504 518 592 666 777 888 1008 1036 1332 1554 1776 1997 2072 2331 2664 3108 3994 4144 4662 5328 5991 6216 7988 9324 11982 12432 13979 15976 17973 18648 23964 27958 31952 35946 37296 41937 47928 55916 71892 73889 83874 95856 111832 125811 143784 147778 167748 221667 223664 251622 287568 295556 335496 443334 503244 517223 591112 665001 670992 886668 1006488 1034446 1182224 1330002 1551669 1773336 2012976 2068892 2660004 3103338 3546672 4137784 4655007 5320008 6206676 8275568 9310014 10640016 12413352 18620028 24826704 37240056 74480112