Search a number
-
+
450351096 = 233135872459
BaseRepresentation
bin11010110101111…
…100111111111000
31011101102012120020
4122311330333320
51410242213341
6112404330440
714105630646
oct3265747770
91141365506
10450351096
11211236498
121069a3a20
13723c0750
1443b50196
152980c566
hex1ad7cff8

450351096 has 64 divisors (see below), whose sum is σ = 1215043200. Its totient is φ = 138277248.

The previous prime is 450351079. The next prime is 450351119. The reversal of 450351096 is 690153054.

It is a happy number.

It is a super-2 number, since 2×4503510962 = 405632219336802432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181915 + ... + 184373.

It is an arithmetic number, because the mean of its divisors is an integer number (18985050).

Almost surely, 2450351096 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 450351096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607521600).

450351096 is an abundant number, since it is smaller than the sum of its proper divisors (764692104).

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

450351096 is a wasteful number, since it uses less digits than its factorization.

450351096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3068 (or 3064 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 450351096 is about 21221.4772341607. The cubic root of 450351096 is about 766.5086755307.

The spelling of 450351096 in words is "four hundred fifty million, three hundred fifty-one thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 587 1174 1761 2348 2459 3522 4696 4918 7044 7377 7631 9836 14088 14754 15262 19672 22893 29508 30524 31967 45786 59016 61048 63934 91572 95901 127868 183144 191802 255736 383604 767208 1443433 2886866 4330299 5773732 8660598 11547464 17321196 18764629 34642392 37529258 56293887 75058516 112587774 150117032 225175548 450351096