Search a number
-
+
4648620465 = 325192674271
BaseRepresentation
bin1000101010001010…
…00101000110110001
3102222222012101110100
410111011011012301
534010021323330
62045140023013
7223124423226
oct42505050661
912888171410
104648620465
111a760303a5
12a98991a69
135911117c8
1432155594d
151c3199060
hex1151451b1

4648620465 has 72 divisors (see below), whose sum is σ = 8632960128. Its totient is φ = 2313178560.

The previous prime is 4648620439. The next prime is 4648620491. The reversal of 4648620465 is 5640268464.

It is an interprime number because it is at equal distance from previous prime (4648620439) and next prime (4648620491).

It is not a de Polignac number, because 4648620465 - 212 = 4648616369 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 4648620465.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1086280 + ... + 1090550.

It is an arithmetic number, because the mean of its divisors is an integer number (119902224).

Almost surely, 24648620465 is an apocalyptic number.

4648620465 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4648620465 is a deficient number, since it is larger than the sum of its proper divisors (3984339663).

4648620465 is a wasteful number, since it uses less digits than its factorization.

4648620465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4387 (or 4365 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The square root of 4648620465 is about 68180.7924931942. The cubic root of 4648620465 is about 1668.9424579611.

The spelling of 4648620465 in words is "four billion, six hundred forty-eight million, six hundred twenty thousand, four hundred sixty-five".

Divisors: 1 3 5 9 15 19 45 57 67 95 171 201 285 335 361 603 855 1005 1083 1273 1805 3015 3249 3819 4271 5415 6365 11457 12813 16245 19095 21355 24187 38439 57285 64065 72561 81149 120935 192195 217683 243447 286157 362805 405745 730341 858471 1088415 1217235 1430785 1541831 2575413 3651705 4292355 4625493 5436983 7709155 12877065 13876479 16310949 23127465 27184915 48932847 69382395 81554745 103302677 244664235 309908031 516513385 929724093 1549540155 4648620465