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499326672 = 243133183311
BaseRepresentation
bin11101110000110…
…001111011010000
31021210120102102110
4131300301323100
52010311423142
6121314145320
715242130615
oct3560617320
91253512373
10499326672
11236947579
1211b282240
137c5aa790
144a45c50c
152dc8399c
hex1dc31ed0

499326672 has 160 divisors (see below), whose sum is σ = 1455906816. Its totient is φ = 146419200.

The previous prime is 499326623. The next prime is 499326673. The reversal of 499326672 is 276623994.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (499326673) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1605397 + ... + 1605707.

Almost surely, 2499326672 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 499326672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727953408).

499326672 is an abundant number, since it is smaller than the sum of its proper divisors (956580144).

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

499326672 is a wasteful number, since it uses less digits than its factorization.

499326672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 443 counting only the distinct ones).

The product of its digits is 979776, while the sum is 48.

The square root of 499326672 is about 22345.6186309531. The cubic root of 499326672 is about 793.3440854101.

The spelling of 499326672 in words is "four hundred ninety-nine million, three hundred twenty-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 39 48 52 62 78 83 93 104 124 156 166 186 208 248 249 311 312 332 372 403 496 498 622 624 664 744 806 933 996 1079 1209 1244 1328 1488 1612 1866 1992 2158 2418 2488 2573 3224 3237 3732 3984 4043 4316 4836 4976 5146 6448 6474 7464 7719 8086 8632 9641 9672 10292 12129 12948 14928 15438 16172 17264 19282 19344 20584 24258 25813 25896 28923 30876 32344 33449 38564 41168 48516 51626 51792 57846 61752 64688 66898 77128 77439 97032 100347 103252 115692 123504 125333 133796 154256 154878 194064 200694 206504 231384 250666 267592 309756 335569 375999 401388 413008 462768 501332 535184 619512 671138 751998 800203 802776 1002664 1006707 1239024 1342276 1503996 1600406 1605552 2005328 2013414 2400609 2684552 3007992 3200812 4026828 4801218 5369104 6015984 6401624 8053656 9602436 10402639 12803248 16107312 19204872 20805278 31207917 38409744 41610556 62415834 83221112 124831668 166442224 249663336 499326672