Search a number
-
+
252463540 = 225712891399
BaseRepresentation
bin11110000110001…
…00100110110100
3122121001110212111
433003010212310
51004112313130
641015100404
76153622210
oct1703044664
9577043774
10252463540
1111a56665a
1270671704
13403c5b14
142575b940
151726e02a
hexf0c49b4

252463540 has 48 divisors (see below), whose sum is σ = 606816000. Its totient is φ = 86429952.

The previous prime is 252463529. The next prime is 252463553. The reversal of 252463540 is 45364252.

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 15 ways as a sum of consecutive naturals, for example, 179761 + ... + 181159.

It is an arithmetic number, because the mean of its divisors is an integer number (12642000).

Almost surely, 2252463540 is an apocalyptic number.

252463540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252463540 is an abundant number, since it is smaller than the sum of its proper divisors (354352460).

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

252463540 is a wasteful number, since it uses less digits than its factorization.

252463540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2704 (or 2702 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

The square root of 252463540 is about 15889.1012961715. The cubic root of 252463540 is about 632.0230089631.

The spelling of 252463540 in words is "two hundred fifty-two million, four hundred sixty-three thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 1289 1399 2578 2798 5156 5596 6445 6995 9023 9793 12890 13990 18046 19586 25780 27980 36092 39172 45115 48965 90230 97930 180460 195860 1803311 3606622 7213244 9016555 12623177 18033110 25246354 36066220 50492708 63115885 126231770 252463540