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4902100225 = 52112192672
BaseRepresentation
bin1001001000011000…
…00001110100000001
3110122122011111022121
410210030001310001
540014414201400
62130233004241
7232323110251
oct44414016401
913578144277
104902100225
112096120500
12b49853681
136017a2029
14347099961
151da56921a
hex124301d01

4902100225 has 81 divisors (see below), whose sum is σ = 7158422691. Its totient is φ = 3327112800.

The previous prime is 4902100223. The next prime is 4902100237. The reversal of 4902100225 is 5220012094.

The square root of 4902100225 is 70015.

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

It can be written as a sum of positive squares in only one way, i.e., 1764756081 + 3137344144 = 42009^2 + 56012^2 .

It is not a de Polignac number, because 4902100225 - 21 = 4902100223 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a self number, because there is not a number n which added to its sum of digits gives 4902100225.

It is not an unprimeable number, because it can be changed into a prime (4902100223) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 73165642 + ... + 73165708.

Almost surely, 24902100225 is an apocalyptic number.

4902100225 is the 70015-th square number.

4902100225 is the 35008-th centered octagonal number.

It is an amenable number.

4902100225 is a deficient number, since it is larger than the sum of its proper divisors (2256322466).

4902100225 is a wasteful number, since it uses less digits than its factorization.

4902100225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The cubic root of 4902100225 is about 1698.7418863271.

Multiplying 4902100225 by its sum of digits (25), we get a square (122552505625 = 3500752).

4902100225 divided by its sum of digits (25) gives a square (196084009 = 140032).

The spelling of 4902100225 in words is "four billion, nine hundred two million, one hundred thousand, two hundred twenty-five".

Divisors: 1 5 11 19 25 55 67 95 121 209 275 335 361 475 605 737 1045 1273 1675 1805 2299 3025 3685 3971 4489 5225 6365 8107 9025 11495 14003 18425 19855 22445 24187 31825 40535 43681 49379 57475 70015 85291 99275 112225 120935 154033 202675 218405 246895 266057 350075 426455 543169 604675 770165 938201 1092025 1234475 1330285 1620529 2132275 2715845 2926627 3850825 4691005 6651425 8102645 10320211 13579225 14633135 17825819 23455025 40513225 51601055 73165675 89129095 196084009 258005275 445645475 980420045 4902100225