Search a number
-
+
474305580 = 2232573112143
BaseRepresentation
bin11100010001010…
…101010000101100
31020001111012221100
4130101111100230
51432410234310
6115022003100
714516350050
oct3421252054
91201435840
10474305580
11223807891
12112a16490
1377359ab8
1446dc7c60
152b98eec0
hex1c45542c

474305580 has 144 divisors (see below), whose sum is σ = 1697439744. Its totient is φ = 104906880.

The previous prime is 474305567. The next prime is 474305581. The reversal of 474305580 is 85503474.

474305580 is a `hidden beast` number, since 4 + 74 + 3 + 0 + 5 + 580 = 666.

It is a super-3 number, since 3×4743055803 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (474305581) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32989 + ... + 45131.

It is an arithmetic number, because the mean of its divisors is an integer number (11787776).

Almost surely, 2474305580 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 474305580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848719872).

474305580 is an abundant number, since it is smaller than the sum of its proper divisors (1223134164).

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

474305580 is a wasteful number, since it uses less digits than its factorization.

474305580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12196 (or 12191 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 474305580 is about 21778.5578034910. The cubic root of 474305580 is about 779.8649667625.

The spelling of 474305580 in words is "four hundred seventy-four million, three hundred five thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 31 35 36 42 45 60 62 63 70 84 90 93 105 124 126 140 155 180 186 210 217 252 279 310 315 372 420 434 465 558 620 630 651 868 930 1085 1116 1260 1302 1395 1860 1953 2170 2604 2790 3255 3906 4340 5580 6510 7812 9765 12143 13020 19530 24286 36429 39060 48572 60715 72858 85001 109287 121430 145716 170002 182145 218574 242860 255003 340004 364290 376433 425005 437148 510006 546435 728580 752866 765009 850010 1020012 1092870 1129299 1275015 1505732 1530018 1700020 1882165 2185740 2258598 2550030 2635031 3060036 3387897 3764330 3825045 4517196 5100060 5270062 5646495 6775794 7528660 7650090 7905093 10540124 11292990 13175155 13551588 15300180 15810186 16939485 22585980 23715279 26350310 31620372 33878970 39525465 47430558 52700620 67757940 79050930 94861116 118576395 158101860 237152790 474305580