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399507075 = 3252113141127
BaseRepresentation
bin10111110011111…
…111111010000011
31000211202001200100
4113303333322003
51304233211300
6103350453443
712620516442
oct2763777203
91024661610
10399507075
11195569640
12b1964283
13649cb126
143b0b6d59
1525117700
hex17cffe83

399507075 has 144 divisors (see below), whose sum is σ = 831946752. Its totient is φ = 181440000.

The previous prime is 399507071. The next prime is 399507083. The reversal of 399507075 is 570705993.

It is a happy number.

It is not a de Polignac number, because 399507075 - 22 = 399507071 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 399507075.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (399507071) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3145662 + ... + 3145788.

It is an arithmetic number, because the mean of its divisors is an integer number (5777408).

Almost surely, 2399507075 is an apocalyptic number.

399507075 is an abundant number, since it is smaller than the sum of its proper divisors (432439677).

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

399507075 is a wasteful number, since it uses less digits than its factorization.

399507075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 297675, while the sum is 45.

The square root of 399507075 is about 19987.6730761737. The cubic root of 399507075 is about 736.5035167818.

The spelling of 399507075 in words is "three hundred ninety-nine million, five hundred seven thousand, seventy-five".

Divisors: 1 3 5 9 11 15 25 31 33 41 45 55 75 93 99 123 127 155 165 205 225 275 279 341 369 381 451 465 495 615 635 775 825 1023 1025 1143 1271 1353 1395 1397 1705 1845 1905 2255 2325 2475 3069 3075 3175 3813 3937 4059 4191 5115 5207 5715 6355 6765 6975 6985 8525 9225 9525 11275 11439 11811 12573 13981 15345 15621 19065 19685 20295 20955 25575 26035 28575 31775 33825 34925 35433 41943 43307 46863 57195 57277 59055 62865 69905 76725 78105 95325 98425 101475 104775 125829 129921 130175 161417 171831 177165 209715 216535 234315 285975 286385 295275 314325 349525 389763 390525 484251 515493 629145 649605 807085 859155 885825 1048575 1082675 1171575 1431925 1452753 1775587 1948815 2421255 2577465 3145725 3248025 4035425 4295775 5326761 7263765 8877935 9744075 12106275 12887325 15980283 26633805 36318825 44389675 79901415 133169025 399507075