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1145641392 = 243279711717
BaseRepresentation
bin100010001001001…
…0001100110110000
32221211201121112200
41010102101212300
54321241011032
6305403023200
740250535240
oct10422214660
92854647480
101145641392
11538759375
1227b80ab00
1315347121c
14ac21db20
156a89e47c
hex444919b0

1145641392 has 120 divisors (see below), whose sum is σ = 3702325536. Its totient is φ = 323923968.

The previous prime is 1145641391. The next prime is 1145641457. The reversal of 1145641392 is 2931465411.

It is a happy number.

1145641392 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 641 + 3 + 9 + 2 = 666.

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 (1145641391) 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 23 ways as a sum of consecutive naturals, for example, 91918 + ... + 103634.

Almost surely, 21145641392 is an apocalyptic number.

1145641392 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 1145641392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1851162768).

1145641392 is an abundant number, since it is smaller than the sum of its proper divisors (2556684144).

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

1145641392 is a wasteful number, since it uses less digits than its factorization.

1145641392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11835 (or 11826 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 1145641392 is about 33847.3247391873. The cubic root of 1145641392 is about 1046.3642635019.

The spelling of 1145641392 in words is "one billion, one hundred forty-five million, six hundred forty-one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 97 112 126 144 168 194 252 291 336 388 504 582 679 776 873 1008 1164 1358 1552 1746 2037 2328 2716 3492 4074 4656 5432 6111 6984 8148 10864 11717 12222 13968 16296 23434 24444 32592 35151 46868 48888 70302 82019 93736 97776 105453 140604 164038 187472 210906 246057 281208 328076 421812 492114 562416 656152 738171 843624 984228 1136549 1312304 1476342 1687248 1968456 2273098 2952684 3409647 3936912 4546196 5905368 6819294 7955843 9092392 10228941 11810736 13638588 15911686 18184784 20457882 23867529 27277176 31823372 40915764 47735058 54554352 63646744 71602587 81831528 95470116 127293488 143205174 163663056 190940232 286410348 381880464 572820696 1145641392