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3893242000 = 24531946621
BaseRepresentation
bin1110100000001110…
…0010100010010000
3101001022211012000011
43220003202202100
530433132221000
61442153404304
7165323003524
oct35003424220
911038735004
103893242000
1117186a737a
12907a09694
134a0782bbb
1428d0c3d84
1517bbd82ba
hexe80e2890

3893242000 has 40 divisors (see below), whose sum is σ = 9413863992. Its totient is φ = 1557296000.

The previous prime is 3893241991. The next prime is 3893242013. The reversal of 3893242000 is 2423983.

It can be written as a sum of positive squares in 4 ways, for example, as 511121664 + 3382120336 = 22608^2 + 58156^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

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, 971311 + ... + 975310.

Almost surely, 23893242000 is an apocalyptic number.

It is an amenable number.

3893242000 is an abundant number, since it is smaller than the sum of its proper divisors (5520621992).

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

3893242000 is a wasteful number, since it uses less digits than its factorization.

3893242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1946644 (or 1946628 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 3893242000 is about 62395.8492209217. The cubic root of 3893242000 is about 1573.1512026236.

Adding to 3893242000 its reverse (2423983), we get a palindrome (3895665983).

The spelling of 3893242000 in words is "three billion, eight hundred ninety-three million, two hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 1946621 3893242 7786484 9733105 15572968 19466210 31145936 38932420 48665525 77864840 97331050 155729680 194662100 243327625 389324200 486655250 778648400 973310500 1946621000 3893242000