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675480384 = 2634229569
BaseRepresentation
bin101000010000110…
…000001101000000
31202002000221220000
4220100300031000
52340410333014
6151005520000
722511326365
oct5020601500
91662027800
10675480384
11317322457
1216a273000
13a9c35a47
14659d446c
153e47c509
hex28430340

675480384 has 140 divisors (see below), whose sum is σ = 2014613700. Its totient is φ = 223782912.

The previous prime is 675480373. The next prime is 675480391. The reversal of 675480384 is 483084576.

It can be written as a sum of positive squares in 2 ways, for example, as 389193984 + 286286400 = 19728^2 + 16920^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1186852 + ... + 1187420.

Almost surely, 2675480384 is an apocalyptic number.

675480384 is a gapful number since it is divisible by the number (64) 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 675480384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1007306850).

675480384 is an abundant number, since it is smaller than the sum of its proper divisors (1339133316).

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

675480384 is a wasteful number, since it uses less digits than its factorization.

675480384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 675480384 is about 25990.0054636393. The cubic root of 675480384 is about 877.4133686117.

The spelling of 675480384 in words is "six hundred seventy-five million, four hundred eighty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 229 288 324 432 458 569 576 648 687 864 916 1138 1296 1374 1707 1728 1832 2061 2276 2592 2748 3414 3664 4122 4552 5121 5184 5496 6183 6828 7328 8244 9104 10242 10992 12366 13656 14656 15363 16488 18208 18549 20484 21984 24732 27312 30726 32976 36416 37098 40968 43968 46089 49464 54624 61452 65952 74196 81936 92178 98928 109248 122904 130301 131904 148392 163872 184356 197856 245808 260602 296784 327744 368712 390903 395712 491616 521204 593568 737424 781806 983232 1042408 1172709 1187136 1474848 1563612 2084816 2345418 2949696 3127224 3518127 4169632 4690836 6254448 7036254 8339264 9381672 10554381 12508896 14072508 18763344 21108762 25017792 28145016 37526688 42217524 56290032 75053376 84435048 112580064 168870096 225160128 337740192 675480384