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74478780 = 223253753211
BaseRepresentation
bin1000111000001…
…11010010111100
312012010220200100
410130013102330
5123031310110
611220201100
71563026205
oct434072274
9165126610
1074478780
1139050012
1220b39190
13125792ac
149c6a5ac
156812bc0
hex47074bc

74478780 has 144 divisors (see below), whose sum is σ = 237523104. Its totient is φ = 18869760.

The previous prime is 74478779. The next prime is 74478791. The reversal of 74478780 is 8787447.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 352875 + ... + 353085.

It is an arithmetic number, because the mean of its divisors is an integer number (1649466).

Almost surely, 274478780 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 74478780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118761552).

74478780 is an abundant number, since it is smaller than the sum of its proper divisors (163044324).

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

74478780 is a wasteful number, since it uses less digits than its factorization.

74478780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 351232, while the sum is 45.

The square root of 74478780 is about 8630.1089216765. The cubic root of 74478780 is about 420.7371408633.

It can be divided in two parts, 744 and 78780, that added together give a square (79524 = 2822).

The spelling of 74478780 in words is "seventy-four million, four hundred seventy-eight thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 53 60 74 90 106 111 148 159 180 185 211 212 222 265 318 333 370 422 444 477 530 555 633 636 666 740 795 844 954 1055 1060 1110 1266 1332 1590 1665 1899 1908 1961 2110 2220 2385 2532 3165 3180 3330 3798 3922 4220 4770 5883 6330 6660 7596 7807 7844 9495 9540 9805 11183 11766 12660 15614 17649 18990 19610 22366 23421 23532 29415 31228 33549 35298 37980 39035 39220 44732 46842 55915 58830 67098 70263 70596 78070 88245 93684 100647 111830 117105 117660 134196 140526 156140 167745 176490 201294 223660 234210 281052 335490 351315 352980 402588 413771 468420 503235 670980 702630 827542 1006470 1241313 1405260 1655084 2012940 2068855 2482626 3723939 4137710 4965252 6206565 7447878 8275420 12413130 14895756 18619695 24826260 37239390 74478780