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454048240 = 24517563593
BaseRepresentation
bin11011000100000…
…011100111110000
31011122101001002111
4123010003213300
51412214020430
6113015455104
714152226542
oct3304034760
91148331074
10454048240
11213331188
12108087494
13730b64c9
1444433692
1529cdcc2a
hex1b1039f0

454048240 has 80 divisors (see below), whose sum is σ = 1121633568. Its totient is φ = 170344448.

The previous prime is 454048229. The next prime is 454048249. The reversal of 454048240 is 42840454.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (454048249) 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, 765384 + ... + 765976.

Almost surely, 2454048240 is an apocalyptic number.

454048240 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 454048240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560816784).

454048240 is an abundant number, since it is smaller than the sum of its proper divisors (667585328).

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

454048240 is a wasteful number, since it uses less digits than its factorization.

454048240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 31.

The square root of 454048240 is about 21308.4077302834. The cubic root of 454048240 is about 768.6005050921.

Adding to 454048240 its reverse (42840454), we get a palindrome (496888694).

The spelling of 454048240 in words is "four hundred fifty-four million, forty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 563 593 680 1126 1186 1360 2252 2372 2815 2965 4504 4744 5630 5930 9008 9488 9571 10081 11260 11860 19142 20162 22520 23720 38284 40324 45040 47440 47855 50405 76568 80648 95710 100810 153136 161296 191420 201620 333859 382840 403240 667718 765680 806480 1335436 1669295 2670872 3338590 5341744 5675603 6677180 11351206 13354360 22702412 26708720 28378015 45404824 56756030 90809648 113512060 227024120 454048240