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253404352 = 269740819
BaseRepresentation
bin11110001101010…
…10010011000000
3122122211021102101
433012222103000
51004332414402
641051200144
76164621125
oct1706522300
9578737371
10253404352
11120049493
1270a46054
1340665106
142592474c
15173a7b87
hexf1aa4c0

253404352 has 28 divisors (see below), whose sum is σ = 508045720. Its totient is φ = 125392896.

The previous prime is 253404341. The next prime is 253404353.

253404352 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2534043522 = 128427531225079808, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 253404352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253404353) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14202 + ... + 26617.

It is an arithmetic number, because the mean of its divisors is an integer number (18144490).

Almost surely, 2253404352 is an apocalyptic number.

It is an amenable number.

253404352 is an abundant number, since it is smaller than the sum of its proper divisors (254641368).

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

253404352 is an equidigital number, since it uses as much as digits as its factorization.

253404352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40928 (or 40918 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 28.

The square root of 253404352 is about 15918.6793422068. The cubic root of 253404352 is about 632.8071192027.

It can be divided in two parts, 25340 and 4352, that added together give a palindrome (29692).

The spelling of 253404352 in words is "two hundred fifty-three million, four hundred four thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 97 194 388 776 1552 3104 6208 40819 81638 163276 326552 653104 1306208 2612416 3959443 7918886 15837772 31675544 63351088 126702176 253404352