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4946308900 = 22521325412
BaseRepresentation
bin1001001101101001…
…01010111100100100
3110202201100112012221
410212310222330210
540112223341100
62134452322124
7233400634441
oct44664527444
913681315187
104946308900
1121090760a5
12b60613344
1360a9b0400
1434ccc69c8
151de39d01a
hex126d2af24

4946308900 has 81 divisors (see below), whose sum is σ = 11644178553. Its totient is φ = 1822953600.

The previous prime is 4946308849. The next prime is 4946308901. The reversal of 4946308900 is 98036494.

The square root of 4946308900 is 70330.

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 4836646116 + 109662784 = 69546^2 + 10472^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4946308901) 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, 9142630 + ... + 9143170.

Almost surely, 24946308900 is an apocalyptic number.

4946308900 is the 70330-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4946308900

4946308900 is an abundant number, since it is smaller than the sum of its proper divisors (6697869653).

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

4946308900 is a wasteful number, since it uses less digits than its factorization.

4946308900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 43.

The cubic root of 4946308900 is about 1703.8332072595.

Multiplying 4946308900 by its product of nonzero digits (186624), we get a square (923099952153600 = 303825602).

The spelling of 4946308900 in words is "four billion, nine hundred forty-six million, three hundred eight thousand, nine hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 169 260 325 338 541 650 676 845 1082 1300 1690 2164 2705 3380 4225 5410 7033 8450 10820 13525 14066 16900 27050 28132 35165 54100 70330 91429 140660 175825 182858 292681 351650 365716 457145 585362 703300 914290 1170724 1463405 1828580 2285725 2926810 3804853 4571450 5853620 7317025 7609706 9142900 14634050 15219412 19024265 29268100 38048530 49463089 76097060 95121325 98926178 190242650 197852356 247315445 380485300 494630890 989261780 1236577225 2473154450 4946308900