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4313252000 = 25531497237
BaseRepresentation
bin1000000010001011…
…10000000010100000
3102010121010220102002
410001011300002200
532313143031000
61551555543132
7211613015501
oct40105600240
912117126362
104313252000
11191379a082
12a045baaa8
135397ac325
142ccbb6ba8
151a3a008d5
hex1011700a0

4313252000 has 96 divisors (see below), whose sum is σ = 10670259600. Its totient is φ = 1713484800.

The previous prime is 4313251981. The next prime is 4313252017. The reversal of 4313252000 is 2523134.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 8317456 + 4304934544 = 2884^2 + 65612^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 592382 + ... + 599618.

Almost surely, 24313252000 is an apocalyptic number.

4313252000 is a gapful number since it is divisible by the number (40) 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 4313252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5335129800).

4313252000 is an abundant number, since it is smaller than the sum of its proper divisors (6357007600).

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

4313252000 is a wasteful number, since it uses less digits than its factorization.

4313252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7411 (or 7393 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 4313252000 is about 65675.3530633829. The cubic root of 4313252000 is about 1627.8021238652.

Adding to 4313252000 its reverse (2523134), we get a palindrome (4315775134).

The spelling of 4313252000 in words is "four billion, three hundred thirteen million, two hundred fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 149 160 200 250 298 400 500 596 745 800 1000 1192 1490 2000 2384 2980 3725 4000 4768 5960 7237 7450 11920 14474 14900 18625 23840 28948 29800 36185 37250 57896 59600 72370 74500 115792 119200 144740 149000 180925 231584 289480 298000 361850 578960 596000 723700 904625 1078313 1157920 1447400 1809250 2156626 2894800 3618500 4313252 5391565 5789600 7237000 8626504 10783130 14474000 17253008 21566260 26957825 28948000 34506016 43132520 53915650 86265040 107831300 134789125 172530080 215662600 269578250 431325200 539156500 862650400 1078313000 2156626000 4313252000