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1019404728 = 233217248991
BaseRepresentation
bin111100110000101…
…110000110111000
32122001012010101200
4330300232012320
54041431422403
6245053214200
734155540306
oct7460560670
92561163350
101019404728
11483477951
12245491360
13133272684
149955d276
155e765ca3
hex3cc2e1b8

1019404728 has 72 divisors (see below), whose sum is σ = 2932906080. Its totient is φ = 319806720.

The previous prime is 1019404717. The next prime is 1019404747. The reversal of 1019404728 is 8274049101.

1019404728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 1019404692 and 1019404701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3688 + ... + 45303.

Almost surely, 21019404728 is an apocalyptic number.

1019404728 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 1019404728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1466453040).

1019404728 is an abundant number, since it is smaller than the sum of its proper divisors (1913501352).

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

1019404728 is a wasteful number, since it uses less digits than its factorization.

1019404728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49037 (or 49013 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1019404728 is about 31928.1181405983. The cubic root of 1019404728 is about 1006.4268497828.

The spelling of 1019404728 in words is "one billion, nineteen million, four hundred four thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 289 306 408 578 612 867 1156 1224 1734 2312 2601 3468 5202 6936 10404 20808 48991 97982 146973 195964 293946 391928 440919 587892 832847 881838 1175784 1665694 1763676 2498541 3331388 3527352 4997082 6662776 7495623 9994164 14158399 14991246 19988328 28316798 29982492 42475197 56633596 59964984 84950394 113267192 127425591 169900788 254851182 339801576 509702364 1019404728