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252414040 = 23541153911
BaseRepresentation
bin11110000101110…
…00100001011000
3122120221221222011
433002320201120
51004104222130
641014035304
76153324664
oct1702704130
9576857864
10252414040
1111a53244a
1270648b34
13403a9428
14257478a4
151725e52a
hexf0b8858

252414040 has 32 divisors (see below), whose sum is σ = 581787360. Its totient is φ = 98502400.

The previous prime is 252414023. The next prime is 252414047. The reversal of 252414040 is 40414252.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252414047) 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, 75316 + ... + 78595.

It is an arithmetic number, because the mean of its divisors is an integer number (18180855).

Almost surely, 2252414040 is an apocalyptic number.

252414040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252414040 is an abundant number, since it is smaller than the sum of its proper divisors (329373320).

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

252414040 is a wasteful number, since it uses less digits than its factorization.

252414040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153963 (or 153959 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 252414040 is about 15887.5435483274. The cubic root of 252414040 is about 631.9816997852.

Adding to 252414040 its reverse (40414252), we get a palindrome (292828292).

The spelling of 252414040 in words is "two hundred fifty-two million, four hundred fourteen thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1640 153911 307822 615644 769555 1231288 1539110 3078220 6156440 6310351 12620702 25241404 31551755 50482808 63103510 126207020 252414040