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1483028064 = 25327838863
BaseRepresentation
bin101100001100101…
…0011011001100000
310211100120122001100
41120121103121200
511014123344224
6403054234400
751515346660
oct13031233140
93740518040
101483028064
116a1148a31
123547b5a00
131a832c1cb
14100d661a0
158a2e5ac9
hex58653660

1483028064 has 144 divisors (see below), whose sum is σ = 4878461952. Its totient is φ = 418569984.

The previous prime is 1483028023. The next prime is 1483028077. The reversal of 1483028064 is 4608203841.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×14830280642 = 4398744477223176192, which contains 22 as substring.

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 162897 + ... + 171759.

It is an arithmetic number, because the mean of its divisors is an integer number (33878208).

Almost surely, 21483028064 is an apocalyptic number.

1483028064 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 1483028064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2439230976).

1483028064 is an abundant number, since it is smaller than the sum of its proper divisors (3395433888).

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

1483028064 is a wasteful number, since it uses less digits than its factorization.

1483028064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8969 (or 8958 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 1483028064 is about 38510.1034015750. The cubic root of 1483028064 is about 1140.3805193255.

The spelling of 1483028064 in words is "one billion, four hundred eighty-three million, twenty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 83 84 96 112 126 144 166 168 224 249 252 288 332 336 498 504 581 664 672 747 996 1008 1162 1328 1494 1743 1992 2016 2324 2656 2988 3486 3984 4648 5229 5976 6972 7968 8863 9296 10458 11952 13944 17726 18592 20916 23904 26589 27888 35452 41832 53178 55776 62041 70904 79767 83664 106356 124082 141808 159534 167328 186123 212712 248164 283616 319068 372246 425424 496328 558369 638136 735629 744492 850848 992656 1116738 1276272 1471258 1488984 1985312 2206887 2233476 2552544 2942516 2977968 4413774 4466952 5149403 5885032 5955936 6620661 8827548 8933904 10298806 11770064 13241322 15448209 17655096 17867808 20597612 23540128 26482644 30896418 35310192 41195224 46344627 52965288 61792836 70620384 82390448 92689254 105930576 123585672 164780896 185378508 211861152 247171344 370757016 494342688 741514032 1483028064