Search a number
-
+
473007920 = 245711312477
BaseRepresentation
bin11100001100011…
…000011100110000
31012222001021212212
4130030120130300
51432042223140
6114534111252
714502333560
oct3414303460
91188037785
10473007920
11223000940
121124ab528
1376cc4258
1446b6ada0
152b7d5765
hex1c318730

473007920 has 160 divisors (see below), whose sum is σ = 1415909376. Its totient is φ = 142617600.

The previous prime is 473007911. The next prime is 473007923. The reversal of 473007920 is 29700374.

It is a happy number.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (473007923) 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, 189722 + ... + 192198.

Almost surely, 2473007920 is an apocalyptic number.

473007920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 473007920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707954688).

473007920 is an abundant number, since it is smaller than the sum of its proper divisors (942901456).

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

473007920 is a wasteful number, since it uses less digits than its factorization.

473007920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2539 (or 2533 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 32.

The square root of 473007920 is about 21748.7452511633. The cubic root of 473007920 is about 779.1531022769.

The spelling of 473007920 in words is "four hundred seventy-three million, seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 31 35 40 44 55 56 62 70 77 80 88 110 112 124 140 154 155 176 217 220 248 280 308 310 341 385 434 440 496 560 616 620 682 770 868 880 1085 1232 1240 1364 1540 1705 1736 2170 2387 2477 2480 2728 3080 3410 3472 4340 4774 4954 5456 6160 6820 8680 9548 9908 11935 12385 13640 17339 17360 19096 19816 23870 24770 27247 27280 34678 38192 39632 47740 49540 54494 69356 76787 86695 95480 99080 108988 136235 138712 153574 173390 190729 190960 198160 217976 272470 277424 307148 346780 381458 383935 435952 537509 544940 614296 693560 762916 767870 844657 953645 1075018 1089880 1228592 1387120 1525832 1535740 1689314 1907290 2150036 2179760 2687545 3051664 3071480 3378628 3814580 4223285 4300072 5375090 5912599 6142960 6757256 7629160 8446570 8600144 10750180 11825198 13514512 15258320 16893140 21500360 23650396 29562995 33786280 43000720 47300792 59125990 67572560 94601584 118251980 236503960 473007920