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1928143152 = 2432136715373
BaseRepresentation
bin111001011101101…
…0010000100110000
311222101010211011100
41302323102010300
512422101040102
6515154444400
765531642415
oct16273220460
94871124140
101928143152
118aa428541
12459893700
13249608610
1414411210c
15b441ba1c
hex72ed2130

1928143152 has 120 divisors (see below), whose sum is σ = 5898327344. Its totient is φ = 584381952.

The previous prime is 1928143067. The next prime is 1928143157. The reversal of 1928143152 is 2513418291.

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

It is not an unprimeable number, because it can be changed into a prime (1928143157) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117738 + ... + 133110.

Almost surely, 21928143152 is an apocalyptic number.

1928143152 is a gapful number since it is divisible by the number (12) 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 1928143152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2949163672).

1928143152 is an abundant number, since it is smaller than the sum of its proper divisors (3970184192).

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

1928143152 is a wasteful number, since it uses less digits than its factorization.

1928143152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15467 (or 15458 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 1928143152 is about 43910.6268686750. The cubic root of 1928143152 is about 1244.6476537155.

The spelling of 1928143152 in words is "one billion, nine hundred twenty-eight million, one hundred forty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 67 72 78 104 117 134 144 156 201 208 234 268 312 402 468 536 603 624 804 871 936 1072 1206 1608 1742 1872 2412 2613 3216 3484 4824 5226 6968 7839 9648 10452 13936 15373 15678 20904 30746 31356 41808 46119 61492 62712 92238 122984 125424 138357 184476 199849 245968 276714 368952 399698 553428 599547 737904 799396 1029991 1106856 1199094 1598792 1798641 2059982 2213712 2398188 3089973 3197584 3597282 4119964 4796376 6179946 7194564 8239928 9269919 9592752 12359892 13389883 14389128 16479856 18539838 24719784 26779766 28778256 37079676 40169649 49439568 53559532 74159352 80339298 107119064 120508947 148318704 160678596 214238128 241017894 321357192 482035788 642714384 964071576 1928143152