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252207840 = 2535525433
BaseRepresentation
bin11110000100001…
…10001011100000
3122120120111010010
433002012023200
51004031122330
641005404520
76151505553
oct1702061340
9576514103
10252207840
1111a401535
1270569740
1340336611
14256d269a
151721d3b0
hexf0862e0

252207840 has 48 divisors (see below), whose sum is σ = 794456208. Its totient is φ = 67255296.

The previous prime is 252207829. The next prime is 252207841. The reversal of 252207840 is 48702252.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 252207798 and 252207807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252207841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 262237 + ... + 263196.

It is an arithmetic number, because the mean of its divisors is an integer number (16551171).

Almost surely, 2252207840 is an apocalyptic number.

252207840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252207840 is an abundant number, since it is smaller than the sum of its proper divisors (542248368).

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

252207840 is a wasteful number, since it uses less digits than its factorization.

252207840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525451 (or 525443 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 252207840 is about 15881.0528618225. The cubic root of 252207840 is about 631.8095618067.

The spelling of 252207840 in words is "two hundred fifty-two million, two hundred seven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 525433 1050866 1576299 2101732 2627165 3152598 4203464 5254330 6305196 7881495 8406928 10508660 12610392 15762990 16813856 21017320 25220784 31525980 42034640 50441568 63051960 84069280 126103920 252207840