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4000382040 = 233533336517
BaseRepresentation
bin1110111001110000…
…1111110001011000
3101022210102110111210
43232130033301120
531143044211130
61500542023120
7201063454254
oct35634176130
911283373453
104000382040
111773125266
12937877aa0
134b9a26585
1429d413264
151862ed5b0
hexee70fc58

4000382040 has 32 divisors (see below), whose sum is σ = 12001146480. Its totient is φ = 1066768512.

The previous prime is 4000381991. The next prime is 4000382041. The reversal of 4000382040 is 402830004.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4000381998 and 4000382016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000382041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16668139 + ... + 16668378.

Almost surely, 24000382040 is an apocalyptic number.

4000382040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4000382040 is an abundant number, since it is smaller than the sum of its proper divisors (8000764440).

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

4000382040 is a wasteful number, since it uses less digits than its factorization.

4000382040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33336531 (or 33336527 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 4000382040 is about 63248.5734226472. The cubic root of 4000382040 is about 1587.4515879175.

The spelling of 4000382040 in words is "four billion, three hundred eighty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 33336517 66673034 100009551 133346068 166682585 200019102 266692136 333365170 400038204 500047755 666730340 800076408 1000095510 1333460680 2000191020 4000382040