Search a number
-
+
450648528 = 24311277591
BaseRepresentation
bin11010110111000…
…101100111010000
31011101222022120020
4122313011213100
51410331223103
6112414543440
714111310051
oct3267054720
91141868506
10450648528
11211419a00
12106b07b80
1372495c45
1443bca728
152986a753
hex1adc59d0

450648528 has 60 divisors (see below), whose sum is σ = 1279647264. Its totient is φ = 136558400.

The previous prime is 450648521. The next prime is 450648533. The reversal of 450648528 is 825846054.

It is a self number, because there is not a number n which added to its sum of digits gives 450648528.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450648521) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32988 + ... + 44603.

Almost surely, 2450648528 is an apocalyptic number.

450648528 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

450648528 is an abundant number, since it is smaller than the sum of its proper divisors (828998736).

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

450648528 is a wasteful number, since it uses less digits than its factorization.

450648528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77624 (or 77607 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 42.

The square root of 450648528 is about 21228.4838836880. The cubic root of 450648528 is about 766.6773839292.

The spelling of 450648528 in words is "four hundred fifty million, six hundred forty-eight thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 242 264 363 484 528 726 968 1452 1936 2904 5808 77591 155182 232773 310364 465546 620728 853501 931092 1241456 1707002 1862184 2560503 3414004 3724368 5121006 6828008 9388511 10242012 13656016 18777022 20484024 28165533 37554044 40968048 56331066 75108088 112662132 150216176 225324264 450648528