Search a number
-
+
74543976 = 2334138849
BaseRepresentation
bin1000111000101…
…11001101101000
312012021020010000
410130113031220
5123040401401
611221423000
71563420243
oct434271550
9165236100
1074543976
1139094aa1
1220b6aa60
131259cb80
149c8625a
156827186
hex4717368

74543976 has 80 divisors (see below), whose sum is σ = 224878500. Its totient is φ = 22934016.

The previous prime is 74543947. The next prime is 74544017. The reversal of 74543976 is 67934547.

It can be written as a sum of positive squares in 2 ways, for example, as 53144100 + 21399876 = 7290^2 + 4626^2 .

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 19 ways as a sum of consecutive naturals, for example, 4000 + ... + 12848.

Almost surely, 274543976 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 74543976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112439250).

74543976 is an abundant number, since it is smaller than the sum of its proper divisors (150334524).

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

74543976 is a wasteful number, since it uses less digits than its factorization.

74543976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8880 (or 8867 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The square root of 74543976 is about 8633.8853362782. The cubic root of 74543976 is about 420.8598710274.

The spelling of 74543976 in words is "seventy-four million, five hundred forty-three thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 312 324 351 468 648 702 936 1053 1404 2106 2808 4212 8424 8849 17698 26547 35396 53094 70792 79641 106188 115037 159282 212376 230074 238923 318564 345111 460148 477846 637128 690222 716769 920296 955692 1035333 1380444 1433538 1911384 2070666 2760888 2867076 3105999 4141332 5734152 6211998 8282664 9317997 12423996 18635994 24847992 37271988 74543976