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252845840 = 24513243121
BaseRepresentation
bin11110001001000…
…01111100010000
3122121202220021202
433010201330100
51004212031330
641031210332
76160103612
oct1704417420
9577686252
10252845840
1111a7a7905
12708169a8
13404cab30
142581adb2
15172e7445
hexf121f10

252845840 has 40 divisors (see below), whose sum is σ = 633089688. Its totient is φ = 93358080.

The previous prime is 252845837. The next prime is 252845843. The reversal of 252845840 is 48548252.

It is an interprime number because it is at equal distance from previous prime (252845837) and next prime (252845843).

It can be written as a sum of positive squares in 4 ways, for example, as 8111104 + 244734736 = 2848^2 + 15644^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 252845794 and 252845803.

It is not an unprimeable number, because it can be changed into a prime (252845843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120521 + ... + 122600.

Almost surely, 2252845840 is an apocalyptic number.

252845840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252845840 is an abundant number, since it is smaller than the sum of its proper divisors (380243848).

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

252845840 is a wasteful number, since it uses less digits than its factorization.

252845840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243147 (or 243141 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 38.

The square root of 252845840 is about 15901.1270040837. The cubic root of 252845840 is about 632.3418675960.

The spelling of 252845840 in words is "two hundred fifty-two million, eight hundred forty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 243121 486242 972484 1215605 1944968 2431210 3160573 3889936 4862420 6321146 9724840 12642292 15802865 19449680 25284584 31605730 50569168 63211460 126422920 252845840