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450520044 = 2231323307409
BaseRepresentation
bin11010110110100…
…110001111101100
31011101201210022120
4122312212033230
51410313120134
6112412112540
714110233342
oct3266461754
91141653276
10450520044
11211341417
12106a65750
137244c610
1443b95992
1529842649
hex1ada63ec

450520044 has 96 divisors (see below), whose sum is σ = 1188042240. Its totient is φ = 131839488.

The previous prime is 450520033. The next prime is 450520061. The reversal of 450520044 is 440025054.

It is a junction number, because it is equal to n+sod(n) for n = 450519996 and 450520023.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1101312 + ... + 1101720.

It is an arithmetic number, because the mean of its divisors is an integer number (12375440).

Almost surely, 2450520044 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 450520044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594021120).

450520044 is an abundant number, since it is smaller than the sum of its proper divisors (737522196).

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

450520044 is a wasteful number, since it uses less digits than its factorization.

450520044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 450520044 is about 21225.4574509008. The cubic root of 450520044 is about 766.6045147684.

Adding to 450520044 its reverse (440025054), we get a palindrome (890545098).

The spelling of 450520044 in words is "four hundred fifty million, five hundred twenty thousand, forty-four".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 78 92 138 156 276 299 307 409 598 614 818 897 921 1196 1227 1228 1636 1794 1842 2454 3588 3684 3991 4908 5317 7061 7982 9407 10634 11973 14122 15951 15964 18814 21183 21268 23946 28221 28244 31902 37628 42366 47892 56442 63804 84732 91793 112884 122291 125563 183586 244582 251126 275379 366873 367172 376689 489164 502252 550758 733746 753378 1101516 1467492 1506756 1632319 2887949 3264638 4896957 5775898 6529276 8663847 9793914 11551796 17327694 19587828 34655388 37543337 75086674 112630011 150173348 225260022 450520044