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253248920 = 23531204233
BaseRepresentation
bin11110001100001…
…00010110011000
3122122112101012122
433012010112120
51004312431140
641044000412
76163403021
oct1706042630
9578471178
10253248920
1111aa52731
1270990108
134060c442
14258c3c48
1517376ab5
hexf184598

253248920 has 32 divisors (see below), whose sum is σ = 588193920. Its totient is φ = 98031360.

The previous prime is 253248917. The next prime is 253248943. The reversal of 253248920 is 29842352.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100877 + ... + 103356.

It is an arithmetic number, because the mean of its divisors is an integer number (18381060).

Almost surely, 2253248920 is an apocalyptic number.

253248920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253248920 is an abundant number, since it is smaller than the sum of its proper divisors (334945000).

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

253248920 is a wasteful number, since it uses less digits than its factorization.

253248920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204275 (or 204271 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 253248920 is about 15913.7965300553. The cubic root of 253248920 is about 632.6777099635.

The spelling of 253248920 in words is "two hundred fifty-three million, two hundred forty-eight thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1240 204233 408466 816932 1021165 1633864 2042330 4084660 6331223 8169320 12662446 25324892 31656115 50649784 63312230 126624460 253248920