Search a number
-
+
454217040 = 243251933203
BaseRepresentation
bin11011000100101…
…100110101010000
31011122200121122100
4123010230311100
51412234421130
6113023240400
714153531634
oct3304546520
91148617570
10454217040
11213436a92
12108149100
13731452a4
1444478dc4
1529d22c60
hex1b12cd50

454217040 has 120 divisors (see below), whose sum is σ = 1605745440. Its totient is φ = 114746112.

The previous prime is 454217009. The next prime is 454217047. The reversal of 454217040 is 40712454.

454217040 is a `hidden beast` number, since 454 + 2 + 170 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 454216995 and 454217013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (454217047) 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 23 ways as a sum of consecutive naturals, for example, 2922 + ... + 30281.

It is an arithmetic number, because the mean of its divisors is an integer number (13381212).

Almost surely, 2454217040 is an apocalyptic number.

454217040 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 454217040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802872720).

454217040 is an abundant number, since it is smaller than the sum of its proper divisors (1151528400).

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

454217040 is a wasteful number, since it uses less digits than its factorization.

454217040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33241 (or 33232 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 454217040 is about 21312.3682400619. The cubic root of 454217040 is about 768.6957399736.

Adding to 454217040 its reverse (40712454), we get a palindrome (494929494).

The spelling of 454217040 in words is "four hundred fifty-four million, two hundred seventeen thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 36 38 40 45 48 57 60 72 76 80 90 95 114 120 144 152 171 180 190 228 240 285 304 342 360 380 456 570 684 720 760 855 912 1140 1368 1520 1710 2280 2736 3420 4560 6840 13680 33203 66406 99609 132812 166015 199218 265624 298827 332030 398436 498045 531248 597654 630857 664060 796872 996090 1195308 1261714 1328120 1494135 1593744 1892571 1992180 2390616 2523428 2656240 2988270 3154285 3785142 3984360 4781232 5046856 5677713 5976540 6308570 7570284 7968720 9462855 10093712 11355426 11953080 12617140 15140568 18925710 22710852 23906160 25234280 28388565 30281136 37851420 45421704 50468560 56777130 75702840 90843408 113554260 151405680 227108520 454217040