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4850008164 = 2234532732
BaseRepresentation
bin1001000010001010…
…10100000001100100
3110112000010221110000
410201011110001210
534413100230124
62121132301300
7231121250331
oct44105240144
913460127400
104850008164
112069780a11
12b34311830
135c3a63621
143401b9988
151d5bc96c9
hex121154064

4850008164 has 135 divisors (see below), whose sum is σ = 13102064283. Its totient is φ = 1564437888.

The previous prime is 4850008151. The next prime is 4850008181. The reversal of 4850008164 is 4618000584.

The square root of 4850008164 is 69642.

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

It can be written as a sum of positive squares in 4 ways, for example, as 414448164 + 4435560000 = 20358^2 + 66600^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 66438432 + ... + 66438504.

Almost surely, 24850008164 is an apocalyptic number.

4850008164 is the 69642-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4850008164

4850008164 is an abundant number, since it is smaller than the sum of its proper divisors (8252056119).

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

4850008164 is an equidigital number, since it uses as much as digits as its factorization.

4850008164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The cubic root of 4850008164 is about 1692.7032311463.

Multiplying 4850008164 by its sum of digits (36), we get a square (174600293904 = 4178522).

4850008164 divided by its sum of digits (36) gives a square (134722449 = 116072).

The spelling of 4850008164 in words is "four billion, eight hundred fifty million, eight thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 73 81 106 108 146 159 162 212 219 292 318 324 438 477 636 657 876 954 1314 1431 1908 1971 2628 2809 2862 3869 3942 4293 5329 5618 5724 5913 7738 7884 8427 8586 10658 11236 11607 11826 15476 15987 16854 17172 21316 23214 23652 25281 31974 33708 34821 46428 47961 50562 63948 69642 75843 95922 101124 104463 139284 143883 151686 191844 205057 208926 227529 282437 287766 303372 313389 410114 417852 431649 455058 564874 575532 615171 626778 820228 847311 863298 910116 1129748 1230342 1253556 1694622 1726596 1845513 2460684 2541933 3389244 3691026 5083866 5536539 7382052 7625799 10167732 11073078 14969161 15251598 16609617 22146156 22877397 29938322 30503196 33219234 44907483 45754794 59876644 66438468 89814966 91509588 134722449 179629932 269444898 404167347 538889796 808334694 1212502041 1616669388 2425004082 4850008164