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19730052 = 2232709773
BaseRepresentation
bin100101101000…
…0111010000100
31101010101112200
41023100322010
520022330202
61542514500
7326463006
oct113207204
941111480
1019730052
1110156531
126735a30
13411a5b4
142898376
151aeae1c
hex12d0e84

19730052 has 36 divisors (see below), whose sum is σ = 50008140. Its totient is φ = 6558912.

The previous prime is 19730027. The next prime is 19730059. The reversal of 19730052 is 25003791.

It can be written as a sum of positive squares in 2 ways, for example, as 1887876 + 17842176 = 1374^2 + 4224^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 19729998 and 19730025.

It is not an unprimeable number, because it can be changed into a prime (19730059) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25138 + ... + 25910.

It is an arithmetic number, because the mean of its divisors is an integer number (1389115).

Almost surely, 219730052 is an apocalyptic number.

19730052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

19730052 is an abundant number, since it is smaller than the sum of its proper divisors (30278088).

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

19730052 is a wasteful number, since it uses less digits than its factorization.

19730052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1492 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 19730052 is about 4441.8523163203. The cubic root of 19730052 is about 270.2149728271.

The spelling of 19730052 in words is "nineteen million, seven hundred thirty thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 709 773 1418 1546 2127 2319 2836 3092 4254 4638 6381 6957 8508 9276 12762 13914 25524 27828 548057 1096114 1644171 2192228 3288342 4932513 6576684 9865026 19730052