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252402240 = 26351631613
BaseRepresentation
bin11110000101101…
…01101001000000
3122120221100210010
433002311221000
51004103332430
641013504520
76153245406
oct1702655100
9576840703
10252402240
1111a5245a2
1270642140
13403a3c4c
1425743476
151725acb0
hexf0b5a40

252402240 has 112 divisors (see below), whose sum is σ = 806793408. Its totient is φ = 66852864.

The previous prime is 252402239. The next prime is 252402257. The reversal of 252402240 is 42204252.

252402240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 155674 + ... + 157286.

Almost surely, 2252402240 is an apocalyptic number.

252402240 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 252402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403396704).

252402240 is an abundant number, since it is smaller than the sum of its proper divisors (554391168).

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

252402240 is a wasteful number, since it uses less digits than its factorization.

252402240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1796 (or 1786 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 252402240 is about 15887.1721838721. The cubic root of 252402240 is about 631.9718515477.

Adding to 252402240 its reverse (42204252), we get a palindrome (294606492).

The spelling of 252402240 in words is "two hundred fifty-two million, four hundred two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 163 192 240 320 326 480 489 652 815 960 978 1304 1613 1630 1956 2445 2608 3226 3260 3912 4839 4890 5216 6452 6520 7824 8065 9678 9780 10432 12904 13040 15648 16130 19356 19560 24195 25808 26080 31296 32260 38712 39120 48390 51616 52160 64520 77424 78240 96780 103232 129040 154848 156480 193560 258080 262919 309696 387120 516160 525838 774240 788757 1051676 1314595 1548480 1577514 2103352 2629190 3155028 3943785 4206704 5258380 6310056 7887570 8413408 10516760 12620112 15775140 16826816 21033520 25240224 31550280 42067040 50480448 63100560 84134080 126201120 252402240