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675197856 = 2535312801
BaseRepresentation
bin101000001111101…
…011001110100000
31202001111121100000
4220033223032200
52340322312411
6150555500000
722506041604
oct5017531640
91661447300
10675197856
1131714a163
1216a157600
13a9b67278
146595d504
153e423956
hex283eb3a0

675197856 has 144 divisors (see below), whose sum is σ = 2056174848. Its totient is φ = 217728000.

The previous prime is 675197843. The next prime is 675197863. The reversal of 675197856 is 658791576.

675197856 is a `hidden beast` number, since 6 + 7 + 519 + 78 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 239656 + ... + 242456.

It is an arithmetic number, because the mean of its divisors is an integer number (14278992).

Almost surely, 2675197856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 675197856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028087424).

675197856 is an abundant number, since it is smaller than the sum of its proper divisors (1380976992).

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

675197856 is a wasteful number, since it uses less digits than its factorization.

675197856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2857 (or 2837 counting only the distinct ones).

The product of its digits is 3175200, while the sum is 54.

The square root of 675197856 is about 25984.5695750382. The cubic root of 675197856 is about 877.2910218988.

The spelling of 675197856 in words is "six hundred seventy-five million, one hundred ninety-seven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 81 93 96 108 124 144 162 186 216 243 248 279 288 324 372 432 486 496 558 648 744 837 864 972 992 1116 1296 1488 1674 1944 2232 2511 2592 2801 2976 3348 3888 4464 5022 5602 6696 7533 7776 8403 8928 10044 11204 13392 15066 16806 20088 22408 25209 26784 30132 33612 40176 44816 50418 60264 67224 75627 80352 86831 89632 100836 120528 134448 151254 173662 201672 226881 241056 260493 268896 302508 347324 403344 453762 520986 605016 680643 694648 781479 806688 907524 1041972 1210032 1361286 1389296 1562958 1815048 2083944 2344437 2420064 2722572 2778592 3125916 3630096 4167888 4688874 5445144 6251832 7033311 7260192 8335776 9377748 10890288 12503664 14066622 18755496 21099933 21780576 25007328 28133244 37510992 42199866 56266488 75021984 84399732 112532976 168799464 225065952 337598928 675197856