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475869840 = 243531167383
BaseRepresentation
bin11100010111010…
…011001010010000
31020011102200200220
4130113103022100
51433310313330
6115115313040
714535553425
oct3427231220
91204380626
10475869840
11224686066
1211344b780
1377786ab4
14472b3d4c
152bb9d710
hex1c5d3290

475869840 has 160 divisors (see below), whose sum is σ = 1535901696. Its totient is φ = 121751040.

The previous prime is 475869829. The next prime is 475869907. The reversal of 475869840 is 48968574.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1242289 + ... + 1242671.

Almost surely, 2475869840 is an apocalyptic number.

475869840 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 475869840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767950848).

475869840 is an abundant number, since it is smaller than the sum of its proper divisors (1060031856).

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

475869840 is a wasteful number, since it uses less digits than its factorization.

475869840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The square root of 475869840 is about 21814.4410884166. The cubic root of 475869840 is about 780.7213576537.

The spelling of 475869840 in words is "four hundred seventy-five million, eight hundred sixty-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 167 186 240 248 310 334 372 383 465 496 501 620 668 744 766 835 930 1002 1149 1240 1336 1488 1532 1670 1860 1915 2004 2298 2480 2505 2672 3064 3340 3720 3830 4008 4596 5010 5177 5745 6128 6680 7440 7660 8016 9192 10020 10354 11490 11873 13360 15320 15531 18384 20040 20708 22980 23746 25885 30640 31062 35619 40080 41416 45960 47492 51770 59365 62124 63961 71238 77655 82832 91920 94984 103540 118730 124248 127922 142476 155310 178095 189968 191883 207080 237460 248496 255844 284952 310620 319805 356190 383766 414160 474920 511688 569904 621240 639610 712380 767532 949840 959415 1023376 1242480 1279220 1424760 1535064 1918830 1982791 2558440 2849520 3070128 3837660 3965582 5116880 5948373 7675320 7931164 9913955 11896746 15350640 15862328 19827910 23793492 29741865 31724656 39655820 47586984 59483730 79311640 95173968 118967460 158623280 237934920 475869840