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1048969440 = 25345292791
BaseRepresentation
bin111110100001100…
…000000011100000
32201002211011120000
4332201200003200
54122014010230
6252031020000
734665043641
oct7641400340
92632734500
101048969440
114991302a2
1225336a600
1313942449c
149d4576c8
1562155b60
hex3e8600e0

1048969440 has 240 divisors, whose sum is σ = 3831014880. Its totient is φ = 269982720.

The previous prime is 1048969421. The next prime is 1048969459. The reversal of 1048969440 is 449698401.

It is an interprime number because it is at equal distance from previous prime (1048969421) and next prime (1048969459).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×10489694402 = 2200673772107827200, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 374445 + ... + 377235.

It is an arithmetic number, because the mean of its divisors is an integer number (15962562).

Almost surely, 21048969440 is an apocalyptic number.

1048969440 is a gapful number since it is divisible by the number (10) 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 1048969440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1915507440).

1048969440 is an abundant number, since it is smaller than the sum of its proper divisors (2782045440).

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

1048969440 is a wasteful number, since it uses less digits than its factorization.

1048969440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2847 (or 2830 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1048969440 is about 32387.7977022211. The cubic root of 1048969440 is about 1016.0637217975.

The spelling of 1048969440 in words is "one billion, forty-eight million, nine hundred sixty-nine thousand, four hundred forty".