Search a number
-
+
252432440 = 23513485447
BaseRepresentation
bin11110000101111…
…01000000111000
3122120222220012122
433002331000320
51004110314230
641014300412
76153432431
oct1702750070
9576886178
10252432440
1111a545257
1270657708
13403b4910
1425750488
1517264be5
hexf0bd038

252432440 has 32 divisors (see below), whose sum is σ = 611664480. Its totient is φ = 93205632.

The previous prime is 252432421. The next prime is 252432469. The reversal of 252432440 is 44234252.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

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 7 ways as a sum of consecutive naturals, for example, 242204 + ... + 243243.

It is an arithmetic number, because the mean of its divisors is an integer number (19114515).

Almost surely, 2252432440 is an apocalyptic number.

252432440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252432440 is an abundant number, since it is smaller than the sum of its proper divisors (359232040).

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

252432440 is a wasteful number, since it uses less digits than its factorization.

252432440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485471 (or 485467 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 26.

The square root of 252432440 is about 15888.1226077847. The cubic root of 252432440 is about 631.9970557466.

Adding to 252432440 its reverse (44234252), we get a palindrome (296666692).

The spelling of 252432440 in words is "two hundred fifty-two million, four hundred thirty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 485447 970894 1941788 2427235 3883576 4854470 6310811 9708940 12621622 19417880 25243244 31554055 50486488 63108110 126216220 252432440