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675006486 = 237112317419
BaseRepresentation
bin101000001110111…
…100100000010110
31202001010212211020
4220032330200112
52340300201421
6150551422010
722504313640
oct5016744026
91661125736
10675006486
11317029400
1216a084906
13a9acb12b
146590d890
153e3d6dc6
hex283bc816

675006486 has 96 divisors (see below), whose sum is σ = 1705294080. Its totient is φ = 174356160.

The previous prime is 675006481. The next prime is 675006487. The reversal of 675006486 is 684600576.

It is a happy number.

It is a super-2 number, since 2×6750064862 = 911267512284136392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (675006481) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1610785 + ... + 1611203.

It is an arithmetic number, because the mean of its divisors is an integer number (17763480).

Almost surely, 2675006486 is an apocalyptic number.

675006486 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 675006486, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852647040).

675006486 is an abundant number, since it is smaller than the sum of its proper divisors (1030287594).

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

675006486 is a wasteful number, since it uses less digits than its factorization.

675006486 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 675006486 is about 25980.8869363615. The cubic root of 675006486 is about 877.2081311110.

The spelling of 675006486 in words is "six hundred seventy-five million, six thousand, four hundred eighty-six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 121 154 231 242 317 363 419 462 634 726 838 847 951 1257 1694 1902 2219 2514 2541 2933 3487 4438 4609 5082 5866 6657 6974 8799 9218 10461 13314 13827 17598 20922 24409 27654 32263 38357 48818 50699 64526 73227 76714 96789 101398 115071 132823 146454 152097 193578 230142 265646 268499 304194 354893 398469 536998 709786 796938 805497 929761 1064679 1461053 1610994 1859522 2129358 2789283 2922106 4383159 5578566 8766318 10227371 16071583 20454742 30682113 32143166 48214749 61364226 96429498 112501081 225002162 337503243 675006486