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4281725952 = 210327312141
BaseRepresentation
bin1111111100110101…
…1111010000000000
3102001101211012210200
43333031133100000
532232110212302
61544512125200
7211051033020
oct37715372000
912041735720
104281725952
1118a7a17099
129b5b36800
135330c186a
142c892ba80
151a0d7481c
hexff35f400

4281725952 has 264 divisors, whose sum is σ = 14592195072. Its totient is φ = 1183334400.

The previous prime is 4281725941. The next prime is 4281725963. The reversal of 4281725952 is 2595271824.

4281725952 is a `hidden beast` number, since 42 + 8 + 17 + 2 + 595 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (4281725941) and next prime (4281725963).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4281725898 and 4281725907.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1998802 + ... + 2000942.

Almost surely, 24281725952 is an apocalyptic number.

4281725952 is a gapful number since it is divisible by the number (42) 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 4281725952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7296097536).

4281725952 is an abundant number, since it is smaller than the sum of its proper divisors (10310469120).

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

4281725952 is a wasteful number, since it uses less digits than its factorization.

4281725952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2205 (or 2184 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 4281725952 is about 65434.8985786637. The cubic root of 4281725952 is about 1623.8264918532.

The spelling of 4281725952 in words is "four billion, two hundred eighty-one million, seven hundred twenty-five thousand, nine hundred fifty-two".