Search a number
-
+
473031144 = 233319791459
BaseRepresentation
bin11100001100011…
…110000111101000
31012222002110202000
4130030132013220
51432043444034
6114534411000
714502461355
oct3414360750
91188073660
10473031144
11223017333
12112500a60
13770019b1
1446b7562c
152b7dc599
hex1c31e1e8

473031144 has 128 divisors (see below), whose sum is σ = 1401600000. Its totient is φ = 147386304.

The previous prime is 473031127. The next prime is 473031161. The reversal of 473031144 is 441130374.

It is an interprime number because it is at equal distance from previous prime (473031127) and next prime (473031161).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 323487 + ... + 324945.

It is an arithmetic number, because the mean of its divisors is an integer number (10950000).

Almost surely, 2473031144 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 473031144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700800000).

473031144 is an abundant number, since it is smaller than the sum of its proper divisors (928568856).

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

473031144 is a wasteful number, since it uses less digits than its factorization.

473031144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1572 (or 1562 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 473031144 is about 21749.2791604687. The cubic root of 473031144 is about 779.1658538291.

The spelling of 473031144 in words is "four hundred seventy-three million, thirty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 79 108 114 152 158 171 216 228 237 316 342 456 474 513 632 684 711 948 1026 1368 1422 1459 1501 1896 2052 2133 2844 2918 3002 4104 4266 4377 4503 5688 5836 6004 8532 8754 9006 11672 12008 13131 13509 17064 17508 18012 26262 27018 27721 35016 36024 39393 40527 52524 54036 55442 78786 81054 83163 105048 108072 110884 115261 157572 162108 166326 221768 230522 249489 315144 324216 332652 345783 461044 498978 665304 691566 748467 922088 997956 1037349 1383132 1496934 1995912 2074698 2189959 2766264 2993868 3112047 4149396 4379918 5987736 6224094 6569877 8298792 8759836 12448188 13139754 17519672 19709631 24896376 26279508 39419262 52559016 59128893 78838524 118257786 157677048 236515572 473031144