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252413010 = 2345437247
BaseRepresentation
bin11110000101110…
…00010001010010
3122120221220120000
433002320101102
51004104204020
641014030430
76153321663
oct1702702122
9576856500
10252413010
1111a5316a3
1270648416
13403a8b15
142574736a
151725e090
hexf0b8452

252413010 has 80 divisors (see below), whose sum is σ = 694590336. Its totient is φ = 65735712.

The previous prime is 252413009. The next prime is 252413011. The reversal of 252413010 is 10314252.

252413010 is a `hidden beast` number, since 2 + 524 + 130 + 10 = 666.

It is an interprime number because it is at equal distance from previous prime (252413009) and next prime (252413011).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (252413011) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 31207 + ... + 38453.

Almost surely, 2252413010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252413010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347295168).

252413010 is an abundant number, since it is smaller than the sum of its proper divisors (442177326).

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

252413010 is a wasteful number, since it uses less digits than its factorization.

252413010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7309 (or 7300 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 252413010 is about 15887.5111329623. The cubic root of 252413010 is about 631.9808401632.

Adding to 252413010 its reverse (10314252), we get a palindrome (262727262).

The spelling of 252413010 in words is "two hundred fifty-two million, four hundred thirteen thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 43 45 54 81 86 90 129 135 162 215 258 270 387 405 430 645 774 810 1161 1290 1935 2322 3483 3870 5805 6966 7247 11610 14494 17415 21741 34830 36235 43482 65223 72470 108705 130446 195669 217410 311621 326115 391338 587007 623242 652230 934863 978345 1174014 1558105 1869726 1956690 2804589 2935035 3116210 4674315 5609178 5870070 8413767 9348630 14022945 16827534 25241301 28045890 42068835 50482602 84137670 126206505 252413010