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1042717984 = 257112173173
BaseRepresentation
bin111110001001101…
…001110100100000
32200200001120011121
4332021221310200
54113413433414
6251245022024
734560646060
oct7611516440
92620046147
101042717984
11495650500
12251254914
13138045bb9
149c6ab3a0
156181d724
hex3e269d20

1042717984 has 288 divisors, whose sum is σ = 2857171968. Its totient is φ = 364953600.

The previous prime is 1042717981. The next prime is 1042717987. The reversal of 1042717984 is 4897172401.

It is an interprime number because it is at equal distance from previous prime (1042717981) and next prime (1042717987).

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1042717984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042717981) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14283772 + ... + 14283844.

It is an arithmetic number, because the mean of its divisors is an integer number (9920736).

Almost surely, 21042717984 is an apocalyptic number.

1042717984 is a gapful number since it is divisible by the number (14) 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 1042717984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428585984).

1042717984 is an abundant number, since it is smaller than the sum of its proper divisors (1814453984).

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

1042717984 is a wasteful number, since it uses less digits than its factorization.

1042717984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 43.

The square root of 1042717984 is about 32291.1440491042. The cubic root of 1042717984 is about 1014.0412485635.

The spelling of 1042717984 in words is "one billion, forty-two million, seven hundred seventeen thousand, nine hundred eighty-four".