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253003488 = 25323911027
BaseRepresentation
bin11110001010010…
…00011011100000
3122122001220112120
433011020123200
51004232102423
641034424240
76161331333
oct1705103340
9578056476
10253003488
1111a8a52a1
1270892080
134055480a
142585c61a
1517328ee3
hexf1486e0

253003488 has 48 divisors (see below), whose sum is σ = 666973440. Its totient is φ = 83974016.

The previous prime is 253003483. The next prime is 253003501. The reversal of 253003488 is 884300352.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2530034882 = 128021529880332288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253003481) 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, 17431 + ... + 28457.

It is an arithmetic number, because the mean of its divisors is an integer number (13895280).

Almost surely, 2253003488 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 253003488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333486720).

253003488 is an abundant number, since it is smaller than the sum of its proper divisors (413969952).

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

253003488 is a wasteful number, since it uses less digits than its factorization.

253003488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11279 (or 11271 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 253003488 is about 15906.0833645496. The cubic root of 253003488 is about 632.4732608588.

The spelling of 253003488 in words is "two hundred fifty-three million, three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 239 478 717 956 1434 1912 2868 3824 5736 7648 11027 11472 22054 22944 33081 44108 66162 88216 132324 176432 264648 352864 529296 1058592 2635453 5270906 7906359 10541812 15812718 21083624 31625436 42167248 63250872 84334496 126501744 253003488