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4003973840 = 24550049673
BaseRepresentation
bin1110111010100111…
…1100101011010000
3101100001011221112102
43232221330223100
531200004130330
61501151015532
7201136134056
oct35651745320
911301157472
104003973840
111775158899
12938b0a5a8
134ba6b33b9
1429daaa1d6
151867ac945
hexeea7cad0

4003973840 has 20 divisors (see below), whose sum is σ = 9309239364. Its totient is φ = 1601589504.

The previous prime is 4003973819. The next prime is 4003973887. The reversal of 4003973840 is 483793004.

It can be written as a sum of positive squares in 2 ways, for example, as 546063424 + 3457910416 = 23368^2 + 58804^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×40039738402 = 32063613022808691200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4003973794 and 4003973803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25024757 + ... + 25024916.

Almost surely, 24003973840 is an apocalyptic number.

4003973840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4003973840 is an abundant number, since it is smaller than the sum of its proper divisors (5305265524).

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

4003973840 is a wasteful number, since it uses less digits than its factorization.

4003973840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50049686 (or 50049680 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 38.

The square root of 4003973840 is about 63276.9613682579. The cubic root of 4003973840 is about 1587.9265511355.

The spelling of 4003973840 in words is "four billion, three million, nine hundred seventy-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 50049673 100099346 200198692 250248365 400397384 500496730 800794768 1000993460 2001986920 4003973840