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4047943680 = 211335114
BaseRepresentation
bin1111000101000110…
…1011100000000000
3101110002220211211000
43301101223200000
531242233144210
61505401252000
7202211645034
oct36121534000
911402824730
104047943680
111797a60000
1294b794000
134c6839b61
142a58741c4
1518a595ac0
hexf146b800

4047943680 has 480 divisors, whose sum is σ = 15827994000. Its totient is φ = 981319680.

The previous prime is 4047943663. The next prime is 4047943687. The reversal of 4047943680 is 863497404.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4047943687) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 367994875 + ... + 367994885.

Almost surely, 24047943680 is an apocalyptic number.

4047943680 is a gapful number since it is divisible by the number (40) 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 4047943680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7913997000).

4047943680 is an abundant number, since it is smaller than the sum of its proper divisors (11780050320).

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

4047943680 is an frugal number, since it uses more digits than its factorization.

4047943680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 4047943680 is about 63623.4522798001. The cubic root of 4047943680 is about 1593.7180345146.

The spelling of 4047943680 in words is "four billion, forty-seven million, nine hundred forty-three thousand, six hundred eighty".