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253142208 = 26321139953
BaseRepresentation
bin11110001011010…
…10010011000000
3122122022221211100
433011222103000
51004301022313
641041414400
76162446634
oct1705522300
9578287740
10253142208
1111a98a540
127093a400
13405a29b7
1425896dc4
1517355173
hexf16a4c0

253142208 has 84 divisors (see below), whose sum is σ = 791568648. Its totient is φ = 76707840.

The previous prime is 253142203. The next prime is 253142221. The reversal of 253142208 is 802241352.

It is a super-2 number, since 2×2531422082 = 128161954942230528, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (253142203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13641 + ... + 26312.

Almost surely, 2253142208 is an apocalyptic number.

It is an amenable number.

253142208 is an abundant number, since it is smaller than the sum of its proper divisors (538426440).

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

253142208 is a wasteful number, since it uses less digits than its factorization.

253142208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39982 (or 39969 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 253142208 is about 15910.4433627728. The cubic root of 253142208 is about 632.5888332582.

The spelling of 253142208 in words is "two hundred fifty-three million, one hundred forty-two thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 704 792 1056 1584 2112 3168 6336 39953 79906 119859 159812 239718 319624 359577 439483 479436 639248 719154 878966 958872 1278496 1318449 1438308 1757932 1917744 2556992 2636898 2876616 3515864 3835488 3955347 5273796 5753232 7031728 7670976 7910694 10547592 11506464 14063456 15821388 21095184 23012928 28126912 31642776 42190368 63285552 84380736 126571104 253142208