Search a number
-
+
8945440 = 25573163
BaseRepresentation
bin100010000111…
…111100100000
3121211110211121
4202013330200
54242223230
6515422024
7136015000
oct42077440
917743747
108945440
11505a929
122bb4914
131b1287a
14128c000
15bba77a
hex887f20

8945440 has 96 divisors (see below), whose sum is σ = 24796800. Its totient is φ = 3048192.

The previous prime is 8945429. The next prime is 8945441. The reversal of 8945440 is 445498.

It is a junction number, because it is equal to n+sod(n) for n = 8945396 and 8945405.

It is not an unprimeable number, because it can be changed into a prime (8945441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54799 + ... + 54961.

It is an arithmetic number, because the mean of its divisors is an integer number (258300).

Almost surely, 28945440 is an apocalyptic number.

8945440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8945440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12398400).

8945440 is an abundant number, since it is smaller than the sum of its proper divisors (15851360).

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

8945440 is a wasteful number, since it uses less digits than its factorization.

8945440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 8945440 is about 2990.8928432828. The cubic root of 8945440 is about 207.5871990404.

The spelling of 8945440 in words is "eight million, nine hundred forty-five thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 163 196 224 245 280 326 343 392 490 560 652 686 784 815 980 1120 1141 1304 1372 1568 1630 1715 1960 2282 2608 2744 3260 3430 3920 4564 5216 5488 5705 6520 6860 7840 7987 9128 10976 11410 13040 13720 15974 18256 22820 26080 27440 31948 36512 39935 45640 54880 55909 63896 79870 91280 111818 127792 159740 182560 223636 255584 279545 319480 447272 559090 638960 894544 1118180 1277920 1789088 2236360 4472720 8945440