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4610684385 = 325532338297
BaseRepresentation
bin1000100101101000…
…10111010111100001
3102220022211000221100
410102310113113201
533420313400020
62041302545013
7222154112346
oct42264272741
912808730840
104610684385
111a5667a46a
12a88138169
135862bb518
1431a4bc7cd
151beba3a90
hex112d175e1

4610684385 has 48 divisors (see below), whose sum is σ = 8178575184. Its totient is φ = 2401990656.

The previous prime is 4610684369. The next prime is 4610684389. The reversal of 4610684385 is 5834860164.

It can be written as a sum of positive squares in 8 ways, for example, as 246364416 + 4364319969 = 15696^2 + 66063^2 .

It is not a de Polignac number, because 4610684385 - 24 = 4610684369 is a prime.

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 4610684385.

It is not an unprimeable number, because it can be changed into a prime (4610684389) 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, 551557 + ... + 559853.

It is an arithmetic number, because the mean of its divisors is an integer number (170386983).

It is the magic constant of a 2097 × 2097 magic square.

Almost surely, 24610684385 is an apocalyptic number.

4610684385 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4610684385 is a deficient number, since it is larger than the sum of its proper divisors (3567890799).

4610684385 is a wasteful number, since it uses less digits than its factorization.

4610684385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8594 (or 8591 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 4610684385 is about 67902.0204780388. The cubic root of 4610684385 is about 1664.3901291531.

The spelling of 4610684385 in words is "four billion, six hundred ten million, six hundred eighty-four thousand, three hundred eighty-five".

Divisors: 1 3 5 9 15 45 53 159 233 265 477 699 795 1165 2097 2385 3495 8297 10485 12349 24891 37047 41485 61745 74673 111141 124455 185235 373365 439741 555705 1319223 1933201 2198705 3957669 5799603 6596115 9666005 17398809 19788345 28998015 86994045 102459653 307378959 512298265 922136877 1536894795 4610684385