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4002950440 = 235100073761
BaseRepresentation
bin1110111010011000…
…0010110100101000
3101022222020221200201
43232212002310220
531144223403230
61501113041544
7201124342306
oct35646026450
911288227621
104002950440
111774619a05
129386b62b4
134ba415638
1429d8c1276
151866595ca
hexee982d28

4002950440 has 16 divisors (see below), whose sum is σ = 9006638580. Its totient is φ = 1601180160.

The previous prime is 4002950437. The next prime is 4002950447. The reversal of 4002950440 is 440592004.

It can be written as a sum of positive squares in 2 ways, for example, as 3958674724 + 44275716 = 62918^2 + 6654^2 .

It is a super-2 number, since 2×40029504402 = 32047224450192387200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4002950399 and 4002950408.

It is not an unprimeable number, because it can be changed into a prime (4002950447) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 50036841 + ... + 50036920.

Almost surely, 24002950440 is an apocalyptic number.

4002950440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4002950440 is an abundant number, since it is smaller than the sum of its proper divisors (5003688140).

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

4002950440 is a wasteful number, since it uses less digits than its factorization.

4002950440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100073772 (or 100073768 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 4002950440 is about 63268.8741799631. The cubic root of 4002950440 is about 1587.7912503425.

The spelling of 4002950440 in words is "four billion, two million, nine hundred fifty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 100073761 200147522 400295044 500368805 800590088 1000737610 2001475220 4002950440