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1146390882 = 237132373433
BaseRepresentation
bin100010001010100…
…1000100101100010
32221220010200122120
41010111020211202
54321434002012
6305431045110
740260106320
oct10425104542
92856120576
101146390882
1153912048a
1227bb10796
13153674400
14ac376d10
156a99b58c
hex44548962

1146390882 has 96 divisors (see below), whose sum is σ = 2851567488. Its totient is φ = 300837888.

The previous prime is 1146390853. The next prime is 1146390887. The reversal of 1146390882 is 2880936411.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1146390887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2647338 + ... + 2647770.

It is an arithmetic number, because the mean of its divisors is an integer number (29703828).

Almost surely, 21146390882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1146390882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1425783744).

1146390882 is an abundant number, since it is smaller than the sum of its proper divisors (1705176606).

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

1146390882 is a wasteful number, since it uses less digits than its factorization.

1146390882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 1146390882 is about 33858.3945573325. The cubic root of 1146390882 is about 1046.5923943988.

The spelling of 1146390882 in words is "one billion, one hundred forty-six million, three hundred ninety thousand, eight hundred eighty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 169 182 273 338 373 433 507 546 746 866 1014 1119 1183 1299 2238 2366 2598 2611 3031 3549 4849 5222 5629 6062 7098 7833 9093 9698 11258 14547 15666 16887 18186 29094 33774 33943 39403 63037 67886 73177 78806 101829 118209 126074 146354 161509 189111 203658 219531 236418 323018 378222 439062 441259 484527 512239 882518 969054 1024478 1130563 1323777 1536717 2099617 2261126 2647554 3073434 3391689 4199234 6298851 6783378 12597702 14697319 27295021 29394638 44091957 54590042 81885063 88183914 163770126 191065147 382130294 573195441 1146390882