Search a number
-
+
448454040 = 23353737117
BaseRepresentation
bin11010101110101…
…101110110011000
31011020211211021220
4122232231312120
51404301012130
6112255532040
714053540116
oct3256556630
91136754256
10448454040
11210160181
1210622a020
1371ba8128
14437b8ab6
1529585410
hex1abadd98

448454040 has 32 divisors (see below), whose sum is σ = 1345362480. Its totient is φ = 119587712.

The previous prime is 448454011. The next prime is 448454047. The reversal of 448454040 is 40454844.

It is a super-2 number, since 2×4484540402 = 402222051984643200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 448453992 and 448454010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448454047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1868439 + ... + 1868678.

Almost surely, 2448454040 is an apocalyptic number.

448454040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

448454040 is an abundant number, since it is smaller than the sum of its proper divisors (896908440).

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

448454040 is a wasteful number, since it uses less digits than its factorization.

448454040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3737131 (or 3737127 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 33.

The square root of 448454040 is about 21176.7334591528. The cubic root of 448454040 is about 765.4308820436.

The spelling of 448454040 in words is "four hundred forty-eight million, four hundred fifty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 3737117 7474234 11211351 14948468 18685585 22422702 29896936 37371170 44845404 56056755 74742340 89690808 112113510 149484680 224227020 448454040