Search a number
-
+
454191840 = 25335105137
BaseRepresentation
bin11011000100100…
…110101011100000
31011122122100002000
4123010212223200
51412233114330
6113022524000
714153365314
oct3304465340
91148570060
10454191840
1121341a063
12108136600
137313698b
144446db44
1529d1a560
hex1b126ae0

454191840 has 96 divisors (see below), whose sum is σ = 1589686560. Its totient is φ = 121116672.

The previous prime is 454191791. The next prime is 454191841. The reversal of 454191840 is 48191454.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 454191795 and 454191804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (454191841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48249 + ... + 56888.

It is an arithmetic number, because the mean of its divisors is an integer number (16559235).

Almost surely, 2454191840 is an apocalyptic number.

454191840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

454191840 is an abundant number, since it is smaller than the sum of its proper divisors (1135494720).

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

454191840 is a wasteful number, since it uses less digits than its factorization.

454191840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105161 (or 105147 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 454191840 is about 21311.7770258606. Note that the first 3 decimals coincide. The cubic root of 454191840 is about 768.6815239423.

The spelling of 454191840 in words is "four hundred fifty-four million, one hundred ninety-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 105137 210274 315411 420548 525685 630822 841096 946233 1051370 1261644 1577055 1682192 1892466 2102740 2523288 2838699 3154110 3364384 3784932 4205480 4731165 5046576 5677398 6308220 7569864 8410960 9462330 10093152 11354796 12616440 14193495 15139728 16821920 18924660 22709592 25232880 28386990 30279456 37849320 45419184 50465760 56773980 75698640 90838368 113547960 151397280 227095920 454191840