Search a number
-
+
49622625 = 345313229
BaseRepresentation
bin1011110101001…
…0111001100001
310110101002110000
42331102321201
5100200411000
64531330213
71141533243
oct275227141
9113332400
1049622625
1126013238
1214750969
13a385700
14683a093
154553000
hex2f52e61

49622625 has 120 divisors (see below), whose sum is σ = 103629240. Its totient is φ = 23587200.

The previous prime is 49622603. The next prime is 49622627. The reversal of 49622625 is 52622694.

49622625 is a `hidden beast` number, since 4 + 9 + 6 + 22 + 625 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 47775744 + 1846881 = 6912^2 + 1359^2 .

It is not a de Polignac number, because 49622625 - 26 = 49622561 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 49622625.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49622627) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1711111 + ... + 1711139.

It is an arithmetic number, because the mean of its divisors is an integer number (863577).

Almost surely, 249622625 is an apocalyptic number.

49622625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

49622625 is an abundant number, since it is smaller than the sum of its proper divisors (54006615).

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

49622625 is a wasteful number, since it uses less digits than its factorization.

49622625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 50 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 49622625 is about 7044.3328285935. The cubic root of 49622625 is about 367.4739673355.

The spelling of 49622625 in words is "forty-nine million, six hundred twenty-two thousand, six hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 27 29 39 45 65 75 81 87 117 125 135 145 169 195 225 261 325 351 375 377 405 435 507 585 675 725 783 845 975 1053 1125 1131 1305 1521 1625 1755 1885 2025 2175 2349 2535 2925 3375 3393 3625 3915 4225 4563 4875 4901 5265 5655 6525 7605 8775 9425 10125 10179 10875 11745 12675 13689 14625 14703 16965 19575 21125 22815 24505 26325 28275 30537 32625 38025 43875 44109 47125 50895 58725 63375 68445 73515 84825 97875 114075 122525 131625 132327 141375 152685 190125 220545 254475 293625 342225 367575 396981 424125 570375 612625 661635 763425 1102725 1272375 1711125 1837875 1984905 3308175 3817125 5513625 9924525 16540875 49622625