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1028076048 = 243216742751
BaseRepresentation
bin111101010001110…
…011001000010000
32122122111200012200
4331101303020100
54101141413143
6250003123200
734322334156
oct7521631020
92578450180
101028076048
1148835a82a
12248373500
13134cba52c
149a7793d6
15603ca1d3
hex3d473210

1028076048 has 60 divisors (see below), whose sum is σ = 2894481408. Its totient is φ = 340632000.

The previous prime is 1028076031. The next prime is 1028076053. The reversal of 1028076048 is 8406708201.

It is a super-3 number, since 3×10280760483 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2673 + ... + 45423.

Almost surely, 21028076048 is an apocalyptic number.

1028076048 is a gapful number since it is divisible by the number (18) 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 1028076048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447240704).

1028076048 is an abundant number, since it is smaller than the sum of its proper divisors (1866405360).

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

1028076048 is a wasteful number, since it uses less digits than its factorization.

1028076048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42932 (or 42923 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1028076048 is about 32063.6249978071. The cubic root of 1028076048 is about 1009.2724388030.

The spelling of 1028076048 in words is "one billion, twenty-eight million, seventy-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 167 334 501 668 1002 1336 1503 2004 2672 3006 4008 6012 8016 12024 24048 42751 85502 128253 171004 256506 342008 384759 513012 684016 769518 1026024 1539036 2052048 3078072 6156144 7139417 14278834 21418251 28557668 42836502 57115336 64254753 85673004 114230672 128509506 171346008 257019012 342692016 514038024 1028076048