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4930609000 = 235329170021
BaseRepresentation
bin1001001011110001…
…10001111101101000
3110201121210220000011
410211320301331220
540044213442000
62133132021304
7233120325232
oct44570617550
913647726004
104930609000
112100222579
12b57301834
13607674325
1434ab9b252
151dcceb2ba
hex125e31f68

4930609000 has 64 divisors (see below), whose sum is σ = 11935544400. Its totient is φ = 1904224000.

The previous prime is 4930608961. The next prime is 4930609001. The reversal of 4930609000 is 9060394.

It can be written as a sum of positive squares in 8 ways, for example, as 246301636 + 4684307364 = 15694^2 + 68442^2 .

It is a super-2 number, since 2×49306090002 = 48621810221762000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4930609001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56011 + ... + 114010.

Almost surely, 24930609000 is an apocalyptic number.

4930609000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4930609000 is an abundant number, since it is smaller than the sum of its proper divisors (7004935400).

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

4930609000 is a wasteful number, since it uses less digits than its factorization.

4930609000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170071 (or 170057 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 31.

The square root of 4930609000 is about 70218.2953367568. The cubic root of 4930609000 is about 1702.0286048374.

Adding to 4930609000 its reverse (9060394), we get a palindrome (4939669394).

The spelling of 4930609000 in words is "four billion, nine hundred thirty million, six hundred nine thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 125 145 200 232 250 290 500 580 725 1000 1160 1450 2900 3625 5800 7250 14500 29000 170021 340042 680084 850105 1360168 1700210 3400420 4250525 4930609 6800840 8501050 9861218 17002100 19722436 21252625 24653045 34004200 39444872 42505250 49306090 85010500 98612180 123265225 170021000 197224360 246530450 493060900 616326125 986121800 1232652250 2465304500 4930609000