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4884612100 = 22522922412
BaseRepresentation
bin1001000110010010…
…10100010000000100
3110121102021000010021
410203021110100010
540000430041400
62124410104524
7232021342414
oct44311242004
913542230107
104884612100
112087266405
12b43a1b144
135cac8b024
14344a26644
151d8c6271a
hex123254404

4884612100 has 81 divisors (see below), whose sum is σ = 11023455261. Its totient is φ = 1878643200.

The previous prime is 4884612079. The next prime is 4884612101. The reversal of 4884612100 is 12164884.

The square root of 4884612100 is 69890.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 1736055556 + 3148556544 = 41666^2 + 56112^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4884612101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20267980 + ... + 20268220.

Almost surely, 24884612100 is an apocalyptic number.

4884612100 is the 69890-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4884612100

4884612100 is an abundant number, since it is smaller than the sum of its proper divisors (6138843161).

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

4884612100 is a wasteful number, since it uses less digits than its factorization.

4884612100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The cubic root of 4884612100 is about 1696.7194057189.

Adding to 4884612100 its reverse (12164884), we get a palindrome (4896776984).

The spelling of 4884612100 in words is "four billion, eight hundred eighty-four million, six hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 241 290 482 580 725 841 964 1205 1450 1682 2410 2900 3364 4205 4820 6025 6989 8410 12050 13978 16820 21025 24100 27956 34945 42050 58081 69890 84100 116162 139780 174725 202681 232324 290405 349450 405362 580810 698900 810724 1013405 1161620 1452025 1684349 2026810 2904050 3368698 4053620 5067025 5808100 6737396 8421745 10134050 16843490 20268100 33686980 42108725 48846121 84217450 97692242 168434900 195384484 244230605 488461210 976922420 1221153025 2442306050 4884612100