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675853728 = 25311283701
BaseRepresentation
bin101000010010001…
…011010110100000
31202002201221000120
4220102023112200
52341004304403
6151021520240
722514443014
oct5022132640
91662657016
10675853728
11317557a00
1216a413080
13aa036964
1465a90544
153e502e53
hex2848b5a0

675853728 has 144 divisors (see below), whose sum is σ = 1976371488. Its totient is φ = 202048000.

The previous prime is 675853727. The next prime is 675853777. The reversal of 675853728 is 827358576.

Its product of digits (2822400) is a multiple of the sum of its prime divisors (800).

It is not an unprimeable number, because it can be changed into a prime (675853727) 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 23 ways as a sum of consecutive naturals, for example, 963778 + ... + 964478.

It is an arithmetic number, because the mean of its divisors is an integer number (13724802).

Almost surely, 2675853728 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 675853728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988185744).

675853728 is an abundant number, since it is smaller than the sum of its proper divisors (1300517760).

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

675853728 is a wasteful number, since it uses less digits than its factorization.

675853728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 800 counting only the distinct ones).

The product of its digits is 2822400, while the sum is 51.

The square root of 675853728 is about 25997.1869247425. The cubic root of 675853728 is about 877.5749902228.

The spelling of 675853728 in words is "six hundred seventy-five million, eight hundred fifty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 83 88 96 121 132 166 176 242 249 264 332 352 363 484 498 528 664 701 726 913 968 996 1056 1328 1402 1452 1826 1936 1992 2103 2656 2739 2804 2904 3652 3872 3984 4206 5478 5608 5808 7304 7711 7968 8412 10043 10956 11216 11616 14608 15422 16824 20086 21912 22432 23133 29216 30129 30844 33648 40172 43824 46266 58183 60258 61688 67296 80344 84821 87648 92532 116366 120516 123376 160688 169642 174549 185064 232732 241032 246752 254463 321376 339284 349098 370128 465464 482064 508926 640013 678568 698196 740256 930928 964128 1017852 1280026 1357136 1396392 1861856 1920039 2035704 2560052 2714272 2792784 3840078 4071408 5120104 5585568 7040143 7680156 8142816 10240208 14080286 15360312 20480416 21120429 28160572 30720624 42240858 56321144 61441248 84481716 112642288 168963432 225284576 337926864 675853728