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472332420 = 2232571722051
BaseRepresentation
bin11100001001110…
…011100010000100
31012220202222021100
4130021303202010
51431404114140
6114511420100
714463521310
oct3411634204
91186688240
10472332420
1122268a37a
12112224630
1376b18951
1446a32b40
152b700530
hex1c273884

472332420 has 144 divisors (see below), whose sum is σ = 1733816448. Its totient is φ = 101606400.

The previous prime is 472332409. The next prime is 472332451. The reversal of 472332420 is 24233274.

472332420 is a `hidden beast` number, since 4 + 7 + 233 + 2 + 420 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10395 + ... + 32445.

It is an arithmetic number, because the mean of its divisors is an integer number (12040392).

Almost surely, 2472332420 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 472332420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866908224).

472332420 is an abundant number, since it is smaller than the sum of its proper divisors (1261484028).

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

472332420 is a wasteful number, since it uses less digits than its factorization.

472332420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22090 (or 22085 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 472332420 is about 21733.2100712251. The cubic root of 472332420 is about 778.7820241609.

Adding to 472332420 its reverse (24233274), we get a palindrome (496565694).

The spelling of 472332420 in words is "four hundred seventy-two million, three hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 17 18 20 21 28 30 34 35 36 42 45 51 60 63 68 70 84 85 90 102 105 119 126 140 153 170 180 204 210 238 252 255 306 315 340 357 420 476 510 595 612 630 714 765 1020 1071 1190 1260 1428 1530 1785 2142 2380 3060 3570 4284 5355 7140 10710 21420 22051 44102 66153 88204 110255 132306 154357 198459 220510 264612 308714 330765 374867 396918 441020 463071 617428 661530 749734 771785 793836 926142 992295 1124601 1323060 1389213 1499468 1543570 1852284 1874335 1984590 2249202 2315355 2624069 2778426 3087140 3373803 3748670 3969180 4498404 4630710 5248138 5556852 5623005 6747606 6946065 7497340 7872207 9261420 10496276 11246010 13120345 13495212 13892130 15744414 16869015 22492020 23616621 26240690 27784260 31488828 33738030 39361035 47233242 52481380 67476060 78722070 94466484 118083105 157444140 236166210 472332420