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1442408088 = 2331121273911
BaseRepresentation
bin101010111111001…
…0110011010011000
310201112010220220210
41111332112122120
510423224024323
6355043451120
750513160252
oct12576263230
93645126823
101442408088
11680224600
12343086aa0
1319caa9414
14d97d0cd2
1586970293
hex55f96698

1442408088 has 96 divisors (see below), whose sum is σ = 3995873280. Its totient is φ = 433540800.

The previous prime is 1442408063. The next prime is 1442408101. The reversal of 1442408088 is 8808042441.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 366853 + ... + 370763.

It is an arithmetic number, because the mean of its divisors is an integer number (41623680).

Almost surely, 21442408088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1442408088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1997936640).

1442408088 is an abundant number, since it is smaller than the sum of its proper divisors (2553465192).

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

1442408088 is a wasteful number, since it uses less digits than its factorization.

1442408088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4069 (or 4054 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 39.

The square root of 1442408088 is about 37979.0480133455. The cubic root of 1442408088 is about 1129.8723556448.

The spelling of 1442408088 in words is "one billion, four hundred forty-two million, four hundred eight thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 127 132 242 254 264 363 381 484 508 726 762 968 1016 1397 1452 1524 2794 2904 3048 3911 4191 5588 7822 8382 11176 11733 15367 15644 16764 23466 30734 31288 33528 43021 46101 46932 61468 86042 92202 93864 122936 129063 172084 184404 258126 344168 368808 473231 496697 516252 946462 993394 1032504 1419693 1490091 1892924 1986788 2839386 2980182 3785848 3973576 5463667 5678772 5960364 10927334 11357544 11920728 16391001 21854668 32782002 43709336 60100337 65564004 120200674 131128008 180301011 240401348 360602022 480802696 721204044 1442408088