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475532000 = 2553196257
BaseRepresentation
bin11100010110000…
…000101011100000
31020010210112021022
4130112000223200
51433214011000
6115104145012
714532645446
oct3426005340
91203715238
10475532000
11224475259
12113308168
13776990a8
1447226b96
152bb33585
hex1c580ae0

475532000 has 96 divisors (see below), whose sum is σ = 1230072480. Its totient is φ = 180172800.

The previous prime is 475531963. The next prime is 475532003. The reversal of 475532000 is 235574.

It is a super-2 number, since 2×4755320002 = 452261366048000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475532003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72872 + ... + 79128.

It is an arithmetic number, because the mean of its divisors is an integer number (12813255).

Almost surely, 2475532000 is an apocalyptic number.

475532000 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 475532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615036240).

475532000 is an abundant number, since it is smaller than the sum of its proper divisors (754540480).

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

475532000 is a wasteful number, since it uses less digits than its factorization.

475532000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6301 (or 6283 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 26.

The square root of 475532000 is about 21806.6962192809. The cubic root of 475532000 is about 780.5365582795.

Adding to 475532000 its reverse (235574), we get a palindrome (475767574).

The spelling of 475532000 in words is "four hundred seventy-five million, five hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 76 80 95 100 125 152 160 190 200 250 304 380 400 475 500 608 760 800 950 1000 1520 1900 2000 2375 3040 3800 4000 4750 6257 7600 9500 12514 15200 19000 25028 31285 38000 50056 62570 76000 100112 118883 125140 156425 200224 237766 250280 312850 475532 500560 594415 625700 782125 951064 1001120 1188830 1251400 1564250 1902128 2377660 2502800 2972075 3128500 3804256 4755320 5005600 5944150 6257000 9510640 11888300 12514000 14860375 19021280 23776600 25028000 29720750 47553200 59441500 95106400 118883000 237766000 475532000