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4251525632 = 2926930869
BaseRepresentation
bin1111110101101001…
…0010001000000000
3101222021222212202022
43331122102020000
532201342310012
61541512541012
7210233241314
oct37532221000
911867885668
104251525632
11189196a152
129a79b1768
13529a79653
142c4909b44
1519d3ab472
hexfd692200

4251525632 has 40 divisors (see below), whose sum is σ = 8526602700. Its totient is φ = 2117791744.

The previous prime is 4251525583. The next prime is 4251525647. The reversal of 4251525632 is 2365251524.

It can be written as a sum of positive squares in 2 ways, for example, as 3102044416 + 1149481216 = 55696^2 + 33904^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4251525592 and 4251525601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 122294 + ... + 153162.

Almost surely, 24251525632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4251525632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4263301350).

4251525632 is an abundant number, since it is smaller than the sum of its proper divisors (4275077068).

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

4251525632 is an equidigital number, since it uses as much as digits as its factorization.

4251525632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31156 (or 31140 counting only the distinct ones).

The product of its digits is 72000, while the sum is 35.

The square root of 4251525632 is about 65203.7240654244. The cubic root of 4251525632 is about 1619.9996992328. Note that the first 3 decimals are identical.

The spelling of 4251525632 in words is "four billion, two hundred fifty-one million, five hundred twenty-five thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 128 256 269 512 538 1076 2152 4304 8608 17216 30869 34432 61738 68864 123476 137728 246952 493904 987808 1975616 3951232 7902464 8303761 15804928 16607522 33215044 66430088 132860176 265720352 531440704 1062881408 2125762816 4251525632