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3996019440 = 2433571272081
BaseRepresentation
bin1110111000101110…
…0110101011110000
3101022111012211011000
43232023212223300
531140440110230
61500304322000
7201011414310
oct35613465360
911274184130
103996019440
111770715606
12936313300
134b8b5995a
1429c9d9440
15185c3ab60
hexee2e6af0

3996019440 has 320 divisors, whose sum is σ = 15861841920. Its totient is φ = 905748480.

The previous prime is 3996019411. The next prime is 3996019483. The reversal of 3996019440 is 449106993.

3996019440 is a `hidden beast` number, since 39 + 9 + 601 + 9 + 4 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1919200 + ... + 1921280.

It is an arithmetic number, because the mean of its divisors is an integer number (49568256).

Almost surely, 23996019440 is an apocalyptic number.

3996019440 is a gapful number since it is divisible by the number (30) 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 3996019440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7930920960).

3996019440 is an abundant number, since it is smaller than the sum of its proper divisors (11865822480).

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

3996019440 is a wasteful number, since it uses less digits than its factorization.

3996019440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2237 (or 2225 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 3996019440 is about 63214.0762805247. The cubic root of 3996019440 is about 1586.8743151096.

The spelling of 3996019440 in words is "three billion, nine hundred ninety-six million, nineteen thousand, four hundred forty".