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4213152 = 253214629
BaseRepresentation
bin10000000100100110100000
321221001100200
4100010212200
52034310102
6230145200
750545146
oct20044640
97831320
104213152
112418449
1214b2200
13b468b8
147b9596
1558351c
hex4049a0

4213152 has 36 divisors (see below), whose sum is σ = 11981970. Its totient is φ = 1404288.

The previous prime is 4213151. The next prime is 4213159. The reversal of 4213152 is 2513124.

It can be written as a sum of positive squares in only one way, i.e., 4016016 + 197136 = 2004^2 + 444^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4213151) 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, 7027 + ... + 7602.

Almost surely, 24213152 is an apocalyptic number.

It is an amenable number.

4213152 is an abundant number, since it is smaller than the sum of its proper divisors (7768818).

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

4213152 is a wasteful number, since it uses less digits than its factorization.

4213152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14645 (or 14634 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 4213152 is about 2052.5964045569. The cubic root of 4213152 is about 161.5111003371.

Adding to 4213152 its reverse (2513124), we get a palindrome (6726276).

The spelling of 4213152 in words is "four million, two hundred thirteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 14629 29258 43887 58516 87774 117032 131661 175548 234064 263322 351096 468128 526644 702192 1053288 1404384 2106576 4213152