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449690094 = 232759241251
BaseRepresentation
bin11010110011011…
…011100111101110
31011100011121211200
4122303123213232
51410110040334
6112342230330
714100205560
oct3263334756
91140147750
10449690094
11210924907
121067253a6
137221b919
1443a1b330
152972b799
hex1acdb9ee

449690094 has 96 divisors (see below), whose sum is σ = 1141620480. Its totient is φ = 125280000.

The previous prime is 449690071. The next prime is 449690117. The reversal of 449690094 is 490096944.

It is an interprime number because it is at equal distance from previous prime (449690071) and next prime (449690117).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1791469 + ... + 1791719.

It is an arithmetic number, because the mean of its divisors is an integer number (11891880).

Almost surely, 2449690094 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449690094, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570810240).

449690094 is an abundant number, since it is smaller than the sum of its proper divisors (691930386).

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

449690094 is a wasteful number, since it uses less digits than its factorization.

449690094 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 449690094 is about 21205.8976230670. The cubic root of 449690094 is about 766.1334780020.

The spelling of 449690094 in words is "four hundred forty-nine million, six hundred ninety thousand, ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 59 63 118 126 177 241 251 354 413 482 502 531 723 753 826 1062 1239 1446 1506 1687 1757 2169 2259 2478 3374 3514 3717 4338 4518 5061 5271 7434 10122 10542 14219 14809 15183 15813 28438 29618 30366 31626 42657 44427 60491 85314 88854 99533 103663 120982 127971 133281 181473 199066 207326 255942 266562 298599 310989 362946 423437 544419 597198 621978 846874 895797 932967 1088838 1270311 1791594 1865934 2540622 3568969 3810933 7137938 7621866 10706907 21413814 24982783 32120721 49965566 64241442 74948349 149896698 224845047 449690094