Search a number
-
+
4252032 = 27323691
BaseRepresentation
bin10000001110000110000000
322000000200200
4100032012000
52042031112
6231045200
751066411
oct20160600
98000620
104252032
112444684
121510800
13b5b4c5
147c9808
1558ecdc
hex40e180

4252032 has 48 divisors (see below), whose sum is σ = 12238980. Its totient is φ = 1416960.

The previous prime is 4252019. The next prime is 4252037. The reversal of 4252032 is 2302524.

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

It is a super-2 number, since 2×42520322 = 36159552258048, which contains 22 as substring.

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

It is a d-powerful number, because it can be written as 47 + 25 + 59 + 213 + 0 + 311 + 221 .

It is a junction number, because it is equal to n+sod(n) for n = 4251996 and 4252014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4252037) 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, 694 + ... + 2997.

Almost surely, 24252032 is an apocalyptic number.

It is an amenable number.

4252032 is an abundant number, since it is smaller than the sum of its proper divisors (7986948).

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

4252032 is a wasteful number, since it uses less digits than its factorization.

4252032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3711 (or 3696 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 4252032 is about 2062.0455863050. The cubic root of 4252032 is about 162.0064012103.

Adding to 4252032 its reverse (2302524), we get a palindrome (6554556).

The spelling of 4252032 in words is "four million, two hundred fifty-two thousand, thirty-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 3691 7382 11073 14764 22146 29528 33219 44292 59056 66438 88584 118112 132876 177168 236224 265752 354336 472448 531504 708672 1063008 1417344 2126016 4252032