Search a number
-
+
475343440 = 2451113371123
BaseRepresentation
bin11100010101010…
…010101001010000
31020010102221121121
4130111102221100
51433141442230
6115100132024
714531231635
oct3425225120
91203387547
10475343440
11224356620
12113237014
1377631310
14471b818c
152bae777a
hex1c552a50

475343440 has 160 divisors (see below), whose sum is σ = 1334664576. Its totient is φ = 155105280.

The previous prime is 475343423. The next prime is 475343447. The reversal of 475343440 is 44343574.

It is a junction number, because it is equal to n+sod(n) for n = 475343396 and 475343405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475343447) 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, 422719 + ... + 423841.

Almost surely, 2475343440 is an apocalyptic number.

475343440 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 475343440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667332288).

475343440 is an abundant number, since it is smaller than the sum of its proper divisors (859321136).

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

475343440 is a wasteful number, since it uses less digits than its factorization.

475343440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1197 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 34.

The square root of 475343440 is about 21802.3723479808. The cubic root of 475343440 is about 780.4333773993.

The spelling of 475343440 in words is "four hundred seventy-five million, three hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 37 40 44 52 55 65 74 80 88 104 110 130 143 148 176 185 208 220 260 286 296 370 407 440 481 520 572 592 715 740 814 880 962 1040 1123 1144 1430 1480 1628 1924 2035 2246 2288 2405 2860 2960 3256 3848 4070 4492 4810 5291 5615 5720 6512 7696 8140 8984 9620 10582 11230 11440 12353 14599 16280 17968 19240 21164 22460 24706 26455 29198 32560 38480 41551 42328 44920 49412 52910 58396 61765 72995 83102 84656 89840 98824 105820 116792 123530 145990 160589 166204 197648 207755 211640 233584 247060 291980 321178 332408 415510 423280 457061 494120 540163 583960 642356 664816 802945 831020 914122 988240 1080326 1167920 1284712 1605890 1662040 1828244 2160652 2285305 2569424 2700815 3211780 3324080 3656488 4321304 4570610 5401630 5941793 6423560 7312976 8642608 9141220 10803260 11883586 12847120 18282440 21606520 23767172 29708965 36564880 43213040 47534344 59417930 95068688 118835860 237671720 475343440