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252304000 = 2753131213
BaseRepresentation
bin11110000100111…
…01101010000000
3122120202101000121
433002131222000
51004042212000
641011430024
76152356114
oct1702355200
9576671017
10252304000
1111a467803
12705b5314
134036b310
1425719744
151723bb1a
hexf09da80

252304000 has 128 divisors (see below), whose sum is σ = 676100880. Its totient is φ = 93081600.

The previous prime is 252303949. The next prime is 252304033. The reversal of 252304000 is 403252.

252304000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 22963264 + 229340736 = 4792^2 + 15144^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207394 + ... + 208606.

Almost surely, 2252304000 is an apocalyptic number.

252304000 is a gapful number since it is divisible by the number (20) 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 252304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338050440).

252304000 is an abundant number, since it is smaller than the sum of its proper divisors (423796880).

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

252304000 is a wasteful number, since it uses less digits than its factorization.

252304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 252304000 is about 15884.0800803824. The cubic root of 252304000 is about 631.8898488796.

Adding to 252304000 its reverse (403252), we get a palindrome (252707252).

The spelling of 252304000 in words is "two hundred fifty-two million, three hundred four thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 125 128 130 160 200 208 250 260 320 325 400 416 500 520 640 650 800 832 1000 1040 1213 1300 1600 1625 1664 2000 2080 2426 2600 3200 3250 4000 4160 4852 5200 6065 6500 8000 8320 9704 10400 12130 13000 15769 16000 19408 20800 24260 26000 30325 31538 38816 41600 48520 52000 60650 63076 77632 78845 97040 104000 121300 126152 151625 155264 157690 194080 208000 242600 252304 303250 315380 388160 394225 485200 504608 606500 630760 776320 788450 970400 1009216 1213000 1261520 1576900 1940800 1971125 2018432 2426000 2523040 3153800 3881600 3942250 4852000 5046080 6307600 7884500 9704000 10092160 12615200 15769000 19408000 25230400 31538000 50460800 63076000 126152000 252304000