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253464352 = 257920761
BaseRepresentation
bin11110001101110…
…00111100100000
3122122221022201121
433012320330200
51004341324402
641052342024
76165261061
oct1706707440
9578838647
10253464352
1112008a579
1270a74914
134068650b
142593c568
15173ba837
hexf1b8f20

253464352 has 12 divisors (see below), whose sum is σ = 499008006. Its totient is φ = 126732160.

The previous prime is 253464329. The next prime is 253464353.

253464352 is nontrivially palindromic in base 10.

253464352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 186158736 + 67305616 = 13644^2 + 8204^2 .

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (253464353) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3960349 + ... + 3960412.

Almost surely, 2253464352 is an apocalyptic number.

It is an amenable number.

253464352 is a deficient number, since it is larger than the sum of its proper divisors (245543654).

253464352 is an equidigital number, since it uses as much as digits as its factorization.

253464352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7920771 (or 7920763 counting only the distinct ones).

The product of its digits is 86400, while the sum is 34.

The square root of 253464352 is about 15920.5638091118. The cubic root of 253464352 is about 632.8570597169.

The spelling of 253464352 in words is "two hundred fifty-three million, four hundred sixty-four thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 32 7920761 15841522 31683044 63366088 126732176 253464352