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455144116 = 22741449883
BaseRepresentation
bin11011001000001…
…111001010110100
31011201102201100111
4123020033022310
51413004102431
6113055152404
714164442530
oct3310171264
91151381314
10455144116
11213a0a569
12108515704
13733ab25b
144463abc0
1529e577b1
hex1b20f2b4

455144116 has 48 divisors (see below), whose sum is σ = 935625600. Its totient is φ = 189665280.

The previous prime is 455144101. The next prime is 455144117. The reversal of 455144116 is 611441554.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455144117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 515011 + ... + 515893.

It is an arithmetic number, because the mean of its divisors is an integer number (19492200).

Almost surely, 2455144116 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 455144116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467812800).

455144116 is an abundant number, since it is smaller than the sum of its proper divisors (480481484).

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

455144116 is a wasteful number, since it uses less digits than its factorization.

455144116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384 (or 1382 counting only the distinct ones).

The product of its digits is 9600, while the sum is 31.

The square root of 455144116 is about 21334.1068713926. The cubic root of 455144116 is about 769.2183646338.

The spelling of 455144116 in words is "four hundred fifty-five million, one hundred forty-four thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 28 41 82 164 287 449 574 883 898 1148 1766 1796 3143 3532 6181 6286 12362 12572 18409 24724 36203 36818 72406 73636 128863 144812 253421 257726 396467 506842 515452 792934 1013684 1585868 2775269 5550538 11101076 16255147 32510294 65020588 113786029 227572058 455144116