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253597542 = 231117412207
BaseRepresentation
bin11110001110110…
…01011101100110
3122200012002102120
433013121131212
51004410110132
641055250410
76166354302
oct1707313546
9580162376
10253597542
11120170650
1270b19a06
1340702023
1425974d02
15173e502c
hexf1d9766

253597542 has 32 divisors (see below), whose sum is σ = 553872384. Its totient is φ = 76768800.

The previous prime is 253597499. The next prime is 253597559. The reversal of 253597542 is 245795352.

It is a junction number, because it is equal to n+sod(n) for n = 253597494 and 253597503.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113803 + ... + 116009.

It is an arithmetic number, because the mean of its divisors is an integer number (17308512).

Almost surely, 2253597542 is an apocalyptic number.

253597542 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

253597542 is an abundant number, since it is smaller than the sum of its proper divisors (300274842).

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

253597542 is a wasteful number, since it uses less digits than its factorization.

253597542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3964.

The product of its digits is 378000, while the sum is 42.

The square root of 253597542 is about 15924.7462146183. The cubic root of 253597542 is about 632.9678911760.

It can be divided in two parts, 253 and 597542, that added together give a palindrome (597795).

The spelling of 253597542 in words is "two hundred fifty-three million, five hundred ninety-seven thousand, five hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 1741 2207 3482 4414 5223 6621 10446 13242 19151 24277 38302 48554 57453 72831 114906 145662 3842387 7684774 11527161 23054322 42266257 84532514 126798771 253597542