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3992483520 = 263452337181
BaseRepresentation
bin1110110111111000…
…0111011011000000
3101022020120011210000
43231332013123000
531134033433040
61500100440000
7200636356434
oct35576073300
911266504700
103992483520
11176971aa63
129350a9000
134b81bc3ac
1429c3589c4
1518578d130
hexedf876c0

3992483520 has 560 divisors, whose sum is σ = 15304056768. Its totient is φ = 985374720.

The previous prime is 3992483519. The next prime is 3992483533. The reversal of 3992483520 is 253842993.

It is a happy number.

3992483520 is a `hidden beast` number, since 39 + 92 + 4 + 8 + 3 + 520 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22057830 + ... + 22058010.

Almost surely, 23992483520 is an apocalyptic number.

3992483520 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 3992483520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7652028384).

3992483520 is an abundant number, since it is smaller than the sum of its proper divisors (11311573248).

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

3992483520 is a wasteful number, since it uses less digits than its factorization.

3992483520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 3992483520 is about 63186.1022694073. The cubic root of 3992483520 is about 1586.4061228224.

The spelling of 3992483520 in words is "three billion, nine hundred ninety-two million, four hundred eighty-three thousand, five hundred twenty".