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540172008 = 2332172231979
BaseRepresentation
bin100000001100100…
…101111011101000
31101122102120200200
4200030211323220
52101241001013
6125333432200
716246246335
oct4014457350
91348376620
10540172008
11257a05252
12130a9b660
1387bac00c
1451a5198c
1532650e73
hex20325ee8

540172008 has 96 divisors (see below), whose sum is σ = 1556755200. Its totient is φ = 168620544.

The previous prime is 540172001. The next prime is 540172037. The reversal of 540172008 is 800271045.

It is not an unprimeable number, because it can be changed into a prime (540172001) 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 23 ways as a sum of consecutive naturals, for example, 271963 + ... + 273941.

It is an arithmetic number, because the mean of its divisors is an integer number (16216200).

Almost surely, 2540172008 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 540172008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778377600).

540172008 is an abundant number, since it is smaller than the sum of its proper divisors (1016583192).

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

540172008 is a wasteful number, since it uses less digits than its factorization.

540172008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2231 (or 2224 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 540172008 is about 23241.6008054523. The cubic root of 540172008 is about 814.4117390488.

The spelling of 540172008 in words is "five hundred forty million, one hundred seventy-two thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 223 306 408 446 612 669 892 1224 1338 1784 1979 2007 2676 3791 3958 4014 5352 5937 7582 7916 8028 11373 11874 15164 15832 16056 17811 22746 23748 30328 33643 34119 35622 45492 47496 67286 68238 71244 90984 100929 134572 136476 142488 201858 269144 272952 302787 403716 441317 605574 807432 882634 1211148 1323951 1765268 2422296 2647902 3530536 3971853 5295804 7502389 7943706 10591608 15004778 15887412 22507167 30009556 31774824 45014334 60019112 67521501 90028668 135043002 180057336 270086004 540172008