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475257640 = 2351113194373
BaseRepresentation
bin11100010100111…
…101101100101000
31020010021120220211
4130110331230220
51433131221030
6115054230504
714530423534
oct3424755450
91203246824
10475257640
112242a8110
121131b5434
1377601250
1447194bc4
152bacc12a
hex1c53db28

475257640 has 128 divisors (see below), whose sum is σ = 1322697600. Its totient is φ = 151096320.

The previous prime is 475257631. The next prime is 475257689. The reversal of 475257640 is 46752574.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 475257593 and 475257602.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106494 + ... + 110866.

It is an arithmetic number, because the mean of its divisors is an integer number (10333575).

Almost surely, 2475257640 is an apocalyptic number.

475257640 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 475257640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661348800).

475257640 is an abundant number, since it is smaller than the sum of its proper divisors (847439960).

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

475257640 is a wasteful number, since it uses less digits than its factorization.

475257640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4427 (or 4423 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 40.

The square root of 475257640 is about 21800.4045834017. The cubic root of 475257640 is about 780.3864182203.

The spelling of 475257640 in words is "four hundred seventy-five million, two hundred fifty-seven thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 13 19 20 22 26 38 40 44 52 55 65 76 88 95 104 110 130 143 152 190 209 220 247 260 286 380 418 440 494 520 572 715 760 836 988 1045 1144 1235 1430 1672 1976 2090 2470 2717 2860 4180 4373 4940 5434 5720 8360 8746 9880 10868 13585 17492 21736 21865 27170 34984 43730 48103 54340 56849 83087 87460 96206 108680 113698 166174 174920 192412 227396 240515 284245 332348 384824 415435 454792 481030 568490 625339 664696 830870 913957 962060 1080131 1136980 1250678 1661740 1827914 1924120 2160262 2273960 2501356 3126695 3323480 3655828 4320524 4569785 5002712 5400655 6253390 7311656 8641048 9139570 10801310 11881441 12506780 18279140 21602620 23762882 25013560 36558280 43205240 47525764 59407205 95051528 118814410 237628820 475257640