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675029264 = 247132191877
BaseRepresentation
bin101000001111000…
…010000100010000
31202001012001001212
4220033002010100
52340301414024
6150552115252
722504440230
oct5017020420
91661161055
10675029264
11317044528
1216a095b28
13a9b08600
1465917cc0
153e3dda0e
hex283c2110

675029264 has 120 divisors (see below), whose sum is σ = 1704623040. Its totient is φ = 252854784.

The previous prime is 675029263. The next prime is 675029279. The reversal of 675029264 is 462920576.

It is not an unprimeable number, because it can be changed into a prime (675029263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 358694 + ... + 360570.

It is an arithmetic number, because the mean of its divisors is an integer number (14205192).

Almost surely, 2675029264 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 675029264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852311520).

675029264 is an abundant number, since it is smaller than the sum of its proper divisors (1029593776).

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

675029264 is a wasteful number, since it uses less digits than its factorization.

675029264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1937 (or 1918 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 41.

The square root of 675029264 is about 25981.3252933718. The cubic root of 675029264 is about 877.2179980888.

The spelling of 675029264 in words is "six hundred seventy-five million, twenty-nine thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 38 52 56 76 91 104 112 133 152 169 182 208 247 266 304 338 364 494 532 676 728 988 1064 1183 1352 1456 1729 1877 1976 2128 2366 2704 3211 3458 3754 3952 4732 6422 6916 7508 9464 12844 13139 13832 15016 18928 22477 24401 25688 26278 27664 30032 35663 44954 48802 51376 52556 71326 89908 97604 105112 142652 170807 179816 195208 210224 249641 285304 317213 341614 359632 390416 463619 499282 570608 634426 683228 927238 998564 1268852 1366456 1854476 1997128 2220491 2537704 2732912 3245333 3708952 3994256 4440982 5075408 6027047 6490666 7417904 8881964 12054094 12981332 17763928 24108188 25962664 35527856 42189329 48216376 51925328 84378658 96432752 168757316 337514632 675029264