Search a number
-
+
4629500505 = 325723961493
BaseRepresentation
bin1000100111111000…
…01001001001011001
3102221122012222210200
410103330021021121
533440123004010
62043214132413
7222503051010
oct42374111131
912848188720
104629500505
111a66261283
12a924b1109
1358a178b16
1431cbb9a77
151c166dcc0
hex113f09259

4629500505 has 48 divisors (see below), whose sum is σ = 9209341440. Its totient is φ = 2107453824.

The previous prime is 4629500459. The next prime is 4629500509. The reversal of 4629500505 is 5050059264.

4629500505 is a `hidden beast` number, since 4 + 62 + 95 + 0 + 0 + 505 = 666.

It is not a de Polignac number, because 4629500505 - 26 = 4629500441 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4629500505.

It is not an unprimeable number, because it can be changed into a prime (4629500509) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44539 + ... + 106031.

It is an arithmetic number, because the mean of its divisors is an integer number (191861280).

Almost surely, 24629500505 is an apocalyptic number.

4629500505 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4629500505 is a deficient number, since it is larger than the sum of its proper divisors (4579840935).

4629500505 is a wasteful number, since it uses less digits than its factorization.

4629500505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61750 (or 61747 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 4629500505 is about 68040.4328689934. The cubic root of 4629500505 is about 1666.6511715671.

Adding to 4629500505 its reverse (5050059264), we get a palindrome (9679559769).

The spelling of 4629500505 in words is "four billion, six hundred twenty-nine million, five hundred thousand, five hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 239 315 717 1195 1673 2151 3585 5019 8365 10755 15057 25095 61493 75285 184479 307465 430451 553437 922395 1291353 2152255 2767185 3874059 6456765 14696827 19370295 44090481 73484135 102877789 132271443 220452405 308633367 514388945 661357215 925900101 1543166835 4629500505