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253278208 = 2111923283
BaseRepresentation
bin11110001100010…
…11100000000000
3122122120212101101
433012023200000
51004314400313
641044344144
76163554301
oct1706134000
9578525341
10253278208
1111aa72737
12709a5054
134061c881
14258d07a8
15173805dd
hexf18b800

253278208 has 96 divisors (see below), whose sum is σ = 558230400. Its totient is φ = 114352128.

The previous prime is 253278203. The next prime is 253278211. The reversal of 253278208 is 802872352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253278203) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 894835 + ... + 895117.

It is an arithmetic number, because the mean of its divisors is an integer number (5814900).

Almost surely, 2253278208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253278208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279115200).

253278208 is an abundant number, since it is smaller than the sum of its proper divisors (304952192).

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

253278208 is a wasteful number, since it uses less digits than its factorization.

253278208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The square root of 253278208 is about 15914.7167112707. The cubic root of 253278208 is about 632.7020985512.

The spelling of 253278208 in words is "two hundred fifty-three million, two hundred seventy-eight thousand, two hundred eight".

Divisors: 1 2 4 8 16 19 23 32 38 46 64 76 92 128 152 184 256 283 304 368 437 512 566 608 736 874 1024 1132 1216 1472 1748 2048 2264 2432 2944 3496 4528 4864 5377 5888 6509 6992 9056 9728 10754 11776 13018 13984 18112 19456 21508 23552 26036 27968 36224 38912 43016 47104 52072 55936 72448 86032 104144 111872 123671 144896 172064 208288 223744 247342 289792 344128 416576 447488 494684 579584 688256 833152 894976 989368 1376512 1666304 1978736 2753024 3332608 3957472 5506048 6665216 7914944 11012096 13330432 15829888 31659776 63319552 126639104 253278208