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4405640625 = 3456592
BaseRepresentation
bin1000001101001100…
…01011110110110001
3102101000222201210000
410012212023312301
533010321000000
62005100100213
7214114220211
oct40646136661
912330881700
104405640625
111960962011
12a2b534669
13552989559
142db186241
151abba0000
hex10698bdb1

4405640625 has 105 divisors (see below), whose sum is σ = 8368271791. Its totient is φ = 2309850000.

The previous prime is 4405640623. The next prime is 4405640633. The reversal of 4405640625 is 5260465044.

The square root of 4405640625 is 66375.

It is a perfect power (a square), and thus also a powerful number.

4405640625 is a `hidden beast` number, since 4 + 4 + 0 + 5 + 640 + 6 + 2 + 5 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3859764129 + 545876496 = 62127^2 + 23364^2 .

It is not a de Polignac number, because 4405640625 - 21 = 4405640623 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4405640625.

It is not an unprimeable number, because it can be changed into a prime (4405640623) by changing a digit.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 74671846 + ... + 74671904.

Almost surely, 24405640625 is an apocalyptic number.

4405640625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4405640625 is the 66375-th square number.

4405640625 is the 33188-th centered octagonal number.

It is an amenable number.

4405640625 is a deficient number, since it is larger than the sum of its proper divisors (3962631166).

4405640625 is an frugal number, since it uses more digits than its factorization.

4405640625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The cubic root of 4405640625 is about 1639.3424670489.

Multiplying 4405640625 by its sum of digits (36), we get a square (158603062500 = 3982502).

It can be divided in two parts, 44056 and 40625, that added together give a square (84681 = 2912).

The spelling of 4405640625 in words is "four billion, four hundred five million, six hundred forty thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 59 75 81 125 135 177 225 295 375 405 531 625 675 885 1125 1475 1593 1875 2025 2655 3125 3375 3481 4425 4779 5625 7375 7965 9375 10125 10443 13275 15625 16875 17405 22125 23895 28125 31329 36875 39825 46875 50625 52215 66375 84375 87025 93987 110625 119475 140625 156645 184375 199125 253125 261075 281961 331875 421875 435125 469935 553125 597375 783225 921875 995625 1265625 1305375 1409805 1659375 2175625 2349675 2765625 2986875 3916125 4978125 6526875 7049025 8296875 10878125 11748375 14934375 19580625 24890625 32634375 35245125 54390625 58741875 74671875 97903125 163171875 176225625 293709375 489515625 881128125 1468546875 4405640625