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450054640 = 2457803669
BaseRepresentation
bin11010110100110…
…100100111110000
31011100212010220101
4122310310213300
51410203222030
6112354122144
714103254440
oct3264644760
91140763811
10450054640
11211053792
12106880354
1372318829
1443ab4120
152979e7ca
hex1ad349f0

450054640 has 40 divisors (see below), whose sum is σ = 1195860960. Its totient is φ = 154304256.

The previous prime is 450054629. The next prime is 450054659. The reversal of 450054640 is 46450054.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 450054599 and 450054608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 401275 + ... + 402394.

It is an arithmetic number, because the mean of its divisors is an integer number (29896524).

Almost surely, 2450054640 is an apocalyptic number.

450054640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

450054640 is an abundant number, since it is smaller than the sum of its proper divisors (745806320).

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

450054640 is a wasteful number, since it uses less digits than its factorization.

450054640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803689 (or 803683 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 450054640 is about 21214.4912736554. The cubic root of 450054640 is about 766.3404468030.

The spelling of 450054640 in words is "four hundred fifty million, fifty-four thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 803669 1607338 3214676 4018345 5625683 6429352 8036690 11251366 12858704 16073380 22502732 28128415 32146760 45005464 56256830 64293520 90010928 112513660 225027320 450054640