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413248095 = 33513259307
BaseRepresentation
bin11000101000011…
…010101001011111
31001210121011211000
4120220122221133
51321242414340
6105001201343
713145356641
oct3050325137
91053534730
10413248095
111a22a4457
12b6490253
13677cc700
143cc52891
152642dd30
hex18a1aa5f

413248095 has 96 divisors (see below), whose sum is σ = 811641600. Its totient is φ = 199345536.

The previous prime is 413248091. The next prime is 413248097. The reversal of 413248095 is 590842314.

It is not a de Polignac number, because 413248095 - 22 = 413248091 is a prime.

It is a super-2 number, since 2×4132480952 = 341547976042258050, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413248091) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1345932 + ... + 1346238.

It is an arithmetic number, because the mean of its divisors is an integer number (8454600).

Almost surely, 2413248095 is an apocalyptic number.

413248095 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

413248095 is a deficient number, since it is larger than the sum of its proper divisors (398393505).

413248095 is a wasteful number, since it uses less digits than its factorization.

413248095 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 413248095 is about 20328.5044949204. The cubic root of 413248095 is about 744.8525119805.

The spelling of 413248095 in words is "four hundred thirteen million, two hundred forty-eight thousand, ninety-five".

Divisors: 1 3 5 9 13 15 27 39 45 59 65 117 135 169 177 195 295 307 351 507 531 585 767 845 885 921 1521 1535 1593 1755 2301 2535 2655 2763 3835 3991 4563 4605 6903 7605 7965 8289 9971 11505 11973 13815 18113 19955 20709 22815 29913 34515 35919 41445 49855 51883 54339 59865 89739 90565 103545 107757 149565 155649 163017 179595 235469 259415 269217 271695 448695 466947 489051 538785 706407 778245 815085 1177345 1346085 1400841 2119221 2334735 2445255 3061097 3532035 6357663 7004205 9183291 10596105 15305485 27549873 31788315 45916455 82649619 137749365 413248095