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253313904 = 24323593889
BaseRepresentation
bin11110001100101…
…00001101110000
3122122122200100110
433012110031300
51004322021104
641045221320
76164063334
oct1706241560
9578580313
10253313904
1111aa97538
1270a01840
1340632bac
14258dd7c4
151738ae89
hexf194370

253313904 has 80 divisors (see below), whose sum is σ = 694598400. Its totient is φ = 79377408.

The previous prime is 253313897. The next prime is 253313911. The reversal of 253313904 is 409313352.

It is an interprime number because it is at equal distance from previous prime (253313897) and next prime (253313911).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63192 + ... + 67080.

It is an arithmetic number, because the mean of its divisors is an integer number (8682480).

Almost surely, 2253313904 is an apocalyptic number.

253313904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253313904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347299200).

253313904 is an abundant number, since it is smaller than the sum of its proper divisors (441284496).

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

253313904 is a wasteful number, since it uses less digits than its factorization.

253313904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3982 (or 3976 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 253313904 is about 15915.8381494661. The cubic root of 253313904 is about 632.7318206414.

The spelling of 253313904 in words is "two hundred fifty-three million, three hundred thirteen thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 59 69 92 118 138 177 184 236 276 354 368 472 552 708 944 1104 1357 1416 2714 2832 3889 4071 5428 7778 8142 10856 11667 15556 16284 21712 23334 31112 32568 46668 62224 65136 89447 93336 178894 186672 229451 268341 357788 458902 536682 688353 715576 917804 1073364 1376706 1431152 1835608 2146728 2753412 3671216 4293456 5277373 5506824 10554746 11013648 15832119 21109492 31664238 42218984 63328476 84437968 126656952 253313904