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253858488 = 23313839803
BaseRepresentation
bin11110010000110…
…01001010111000
3122200200100101020
433020121022320
51004441432423
641105022440
76201522132
oct1710311270
9580610336
10253858488
11120329704
1271024a20
1340793a30
1425a02052
15174474e3
hexf2192b8

253858488 has 64 divisors (see below), whose sum is σ = 691770240. Its totient is φ = 77161344.

The previous prime is 253858471. The next prime is 253858519. The reversal of 253858488 is 884858352.

It is a super-2 number, since 2×2538584882 = 128888263859292288, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 253858488.

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, 20995 + ... + 30797.

It is an arithmetic number, because the mean of its divisors is an integer number (10808910).

Almost surely, 2253858488 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 253858488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345885120).

253858488 is an abundant number, since it is smaller than the sum of its proper divisors (437911752).

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

253858488 is a wasteful number, since it uses less digits than its factorization.

253858488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9908 (or 9904 counting only the distinct ones).

The product of its digits is 2457600, while the sum is 51.

The square root of 253858488 is about 15932.9372056755. The cubic root of 253858488 is about 633.1849198561.

The spelling of 253858488 in words is "two hundred fifty-three million, eight hundred fifty-eight thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 83 104 156 166 249 312 332 498 664 996 1079 1992 2158 3237 4316 6474 8632 9803 12948 19606 25896 29409 39212 58818 78424 117636 127439 235272 254878 382317 509756 764634 813649 1019512 1529268 1627298 2440947 3058536 3254596 4881894 6509192 9763788 10577437 19527576 21154874 31732311 42309748 63464622 84619496 126929244 253858488