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20045952 = 273217401
BaseRepresentation
bin100110001111…
…0000010000000
31101201102212200
41030132002000
520112432302
61553353200
7332250003
oct114360200
941642780
1020045952
1110351903
126868800
1341cb314
14293b53a
151b5e81c
hex131e080

20045952 has 48 divisors (see below), whose sum is σ = 57687630. Its totient is φ = 6681600.

The previous prime is 20045951. The next prime is 20045953. The reversal of 20045952 is 25954002.

20045952 is a `hidden beast` number, since 200 + 459 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (20045951) and next prime (20045953).

It can be written as a sum of positive squares in only one way, i.e., 16451136 + 3594816 = 4056^2 + 1896^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (20045951) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7549 + ... + 9852.

Almost surely, 220045952 is an apocalyptic number.

It is an amenable number.

20045952 is an abundant number, since it is smaller than the sum of its proper divisors (37641678).

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

20045952 is a wasteful number, since it uses less digits than its factorization.

20045952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17421 (or 17406 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 20045952 is about 4477.2705971384. The cubic root of 20045952 is about 271.6494908450.

Adding to 20045952 its reverse (25954002), we get a palindrome (45999954).

The spelling of 20045952 in words is "twenty million, forty-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 17401 34802 52203 69604 104406 139208 156609 208812 278416 313218 417624 556832 626436 835248 1113664 1252872 1670496 2227328 2505744 3340992 5011488 6681984 10022976 20045952