Search a number
-
+
450004284 = 2232193072143
BaseRepresentation
bin11010110100101…
…000010100111100
31011100202120211100
4122310220110330
51410200114114
6112353053100
714102654562
oct3264502474
91140676740
10450004284
11211019974
12106857190
13722cb932
1443a9da32
152978e909
hex1ad2853c

450004284 has 72 divisors (see below), whose sum is σ = 1201840640. Its totient is φ = 141577632.

The previous prime is 450004283. The next prime is 450004301. The reversal of 450004284 is 482400054.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450004283) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 208917 + ... + 211059.

Almost surely, 2450004284 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450004284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600920320).

450004284 is an abundant number, since it is smaller than the sum of its proper divisors (751836356).

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

450004284 is a wasteful number, since it uses less digits than its factorization.

450004284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2479 (or 2474 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 450004284 is about 21213.3044102045. The cubic root of 450004284 is about 766.3118641411.

It can be divided in two parts, 45000 and 4284, that added together give a square (49284 = 2222).

The spelling of 450004284 in words is "four hundred fifty million, four thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 307 342 614 684 921 1228 1842 2143 2763 3684 4286 5526 5833 6429 8572 11052 11666 12858 17499 19287 23332 25716 34998 38574 40717 52497 69996 77148 81434 104994 122151 162868 209988 244302 366453 488604 657901 732906 1315802 1465812 1973703 2631604 3947406 5921109 7894812 11842218 12500119 23684436 25000238 37500357 50000476 75000714 112501071 150001428 225002142 450004284