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475240000 = 26541092
BaseRepresentation
bin11100010100111…
…001011001000000
31020010020200201111
4130110321121000
51433130140000
6115054013104
714530321234
oct3424713100
91203220644
10475240000
11224295934
121131a7194
13775c6201
144718c5c4
152bac6cba
hex1c539640

475240000 has 105 divisors (see below), whose sum is σ = 1189351317. Its totient is φ = 188352000.

The previous prime is 475239997. The next prime is 475240021. The reversal of 475240000 is 42574.

The square root of 475240000 is 21800.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 276091456 + 199148544 = 16616^2 + 14112^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 4359946 + ... + 4360054.

Almost surely, 2475240000 is an apocalyptic number.

475240000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

475240000 is the 21800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 475240000

475240000 is an abundant number, since it is smaller than the sum of its proper divisors (714111317).

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

475240000 is an frugal number, since it uses more digits than its factorization.

475240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 22.

The cubic root of 475240000 is about 780.3767629754.

Adding to 475240000 its reverse (42574), we get a palindrome (475282574).

The spelling of 475240000 in words is "four hundred seventy-five million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 109 125 160 200 218 250 320 400 436 500 545 625 800 872 1000 1090 1250 1600 1744 2000 2180 2500 2725 3488 4000 4360 5000 5450 6976 8000 8720 10000 10900 11881 13625 17440 20000 21800 23762 27250 34880 40000 43600 47524 54500 59405 68125 87200 95048 109000 118810 136250 174400 190096 218000 237620 272500 297025 380192 436000 475240 545000 594050 760384 872000 950480 1090000 1188100 1485125 1900960 2180000 2376200 2970250 3801920 4360000 4752400 5940500 7425625 9504800 11881000 14851250 19009600 23762000 29702500 47524000 59405000 95048000 118810000 237620000 475240000