Search a number
-
+
473833140 = 2235113123159
BaseRepresentation
bin11100001111100…
…001111010110100
31020000121012212120
4130033201322310
51432300130030
6115003515540
714512341504
oct3417417264
91200535776
10473833140
11223514940
12112828bb0
1377222a51
1446d03a04
152b8ea010
hex1c3e1eb4

473833140 has 96 divisors (see below), whose sum is σ = 1494097920. Its totient is φ = 111158400.

The previous prime is 473833133. The next prime is 473833141. The reversal of 473833140 is 41338374.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (473833141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8881 + ... + 32039.

It is an arithmetic number, because the mean of its divisors is an integer number (15563520).

Almost surely, 2473833140 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 473833140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747048960).

473833140 is an abundant number, since it is smaller than the sum of its proper divisors (1020264780).

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

473833140 is a wasteful number, since it uses less digits than its factorization.

473833140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23213 (or 23211 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 473833140 is about 21767.7086529566. The cubic root of 473833140 is about 779.6059482322.

The spelling of 473833140 in words is "four hundred seventy-three million, eight hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 31 33 44 55 60 62 66 93 110 124 132 155 165 186 220 310 330 341 372 465 620 660 682 930 1023 1364 1705 1860 2046 3410 4092 5115 6820 10230 20460 23159 46318 69477 92636 115795 138954 231590 254749 277908 347385 463180 509498 694770 717929 764247 1018996 1273745 1389540 1435858 1528494 2153787 2547490 2871716 3056988 3589645 3821235 4307574 5094980 7179290 7642470 7897219 8615148 10768935 14358580 15284940 15794438 21537870 23691657 31588876 39486095 43075740 47383314 78972190 94766628 118458285 157944380 236916570 473833140