Search a number
-
+
454611040 = 25513613583
BaseRepresentation
bin11011000110001…
…101000001100000
31011200102122002221
4123012031001200
51412340023130
6113035520424
714160062422
oct3306150140
91150378087
10454611040
11213686004
121082b9114
1373252720
144453c812
1529d9e87a
hex1b18d060

454611040 has 96 divisors (see below), whose sum is σ = 1175924736. Its totient is φ = 165058560.

The previous prime is 454611023. The next prime is 454611067. The reversal of 454611040 is 40116454.

454611040 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 454610996 and 454611014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125089 + ... + 128671.

It is an arithmetic number, because the mean of its divisors is an integer number (12249216).

Almost surely, 2454611040 is an apocalyptic number.

454611040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 454611040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587962368).

454611040 is an abundant number, since it is smaller than the sum of its proper divisors (721313696).

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

454611040 is a wasteful number, since it uses less digits than its factorization.

454611040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3672 (or 3664 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 454611040 is about 21321.6096953302. The cubic root of 454611040 is about 768.9179381488.

Adding to 454611040 its reverse (40116454), we get a palindrome (494727494).

The spelling of 454611040 in words is "four hundred fifty-four million, six hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 61 65 80 104 122 130 160 208 244 260 305 416 488 520 610 793 976 1040 1220 1586 1952 2080 2440 3172 3583 3965 4880 6344 7166 7930 9760 12688 14332 15860 17915 25376 28664 31720 35830 46579 57328 63440 71660 93158 114656 126880 143320 186316 218563 232895 286640 372632 437126 465790 573280 745264 874252 931580 1092815 1490528 1748504 1863160 2185630 2841319 3497008 3726320 4371260 5682638 6994016 7452640 8742520 11365276 14206595 17485040 22730552 28413190 34970080 45461104 56826380 90922208 113652760 227305520 454611040