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4900840036 = 22172292712
BaseRepresentation
bin1001001000001110…
…01110001001100100
3110122112210110122221
410210013032021210
540014103340121
62130150002124
7232306311241
oct44407161144
913575713587
104900840036
11209543a724
12b49346344
13601450561
14346c4c5c8
151da3bab41
hex1241ce264

4900840036 has 81 divisors (see below), whose sum is σ = 9570406027. Its totient is φ = 2195388160.

The previous prime is 4900840033. The next prime is 4900840037. The reversal of 4900840036 is 6300480094.

The square root of 4900840036 is 70006.

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 484440100 + 4416399936 = 22010^2 + 66456^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4900839983 and 4900840010.

It is not an unprimeable number, because it can be changed into a prime (4900840033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 69025881 + ... + 69025951.

Almost surely, 24900840036 is an apocalyptic number.

4900840036 is the 70006-th square number.

It is an amenable number.

4900840036 is a deficient number, since it is larger than the sum of its proper divisors (4669565991).

4900840036 is a wasteful number, since it uses less digits than its factorization.

4900840036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The cubic root of 4900840036 is about 1698.5963079555.

Multiplying 4900840036 by its product of nonzero digits (20736), we get a square (101623818986496 = 100808642).

The spelling of 4900840036 in words is "four billion, nine hundred million, eight hundred forty thousand, thirty-six".

Divisors: 1 2 4 17 29 34 58 68 71 116 142 284 289 493 578 841 986 1156 1207 1682 1972 2059 2414 3364 4118 4828 5041 8236 8381 10082 14297 16762 20164 20519 28594 33524 35003 41038 57188 59711 70006 82076 85697 119422 140012 146189 171394 238844 243049 292378 342788 486098 584756 595051 972196 1015087 1190102 1456849 2030174 2380204 2485213 2913698 4060348 4239481 4970426 5827396 8478962 9940852 16957924 17256479 34512958 42248621 69025916 72071177 84497242 144142354 168994484 288284708 1225210009 2450420018 4900840036