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1145791248 = 243731412683
BaseRepresentation
bin100010001001011…
…0110001100010000
32221212000020002220
41010102312030100
54321310304443
6305410141040
740252031160
oct10422661420
92855006086
101145791248
11538850a18
1227b881780
131534c44b4
14ac25c5a0
156a8cda83
hex444b6310

1145791248 has 160 divisors (see below), whose sum is σ = 3578437632. Its totient is φ = 308966400.

The previous prime is 1145791223. The next prime is 1145791267. The reversal of 1145791248 is 8421975411.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 425715 + ... + 428397.

Almost surely, 21145791248 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 1145791248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1789218816).

1145791248 is an abundant number, since it is smaller than the sum of its proper divisors (2432646384).

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

1145791248 is a wasteful number, since it uses less digits than its factorization.

1145791248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2773 (or 2767 counting only the distinct ones).

The product of its digits is 80640, while the sum is 42.

The square root of 1145791248 is about 33849.5383720369. The cubic root of 1145791248 is about 1046.4098848536.

The spelling of 1145791248 in words is "one billion, one hundred forty-five million, seven hundred ninety-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 41 42 48 56 62 82 84 93 112 123 124 164 168 186 217 246 248 287 328 336 372 434 492 496 574 651 656 744 861 868 984 1148 1271 1302 1488 1722 1736 1968 2296 2542 2604 2683 3444 3472 3813 4592 5084 5208 5366 6888 7626 8049 8897 10168 10416 10732 13776 15252 16098 17794 18781 20336 21464 26691 30504 32196 35588 37562 42928 53382 56343 61008 64392 71176 75124 83173 106764 110003 112686 128784 142352 150248 166346 213528 220006 225372 249519 300496 330009 332692 427056 440012 450744 499038 582211 660018 665384 770021 880024 901488 998076 1164422 1320036 1330768 1540042 1746633 1760048 1996152 2310063 2328844 2640072 3080084 3410093 3493266 3992304 4620126 4657688 5280144 6160168 6820186 6986532 9240252 9315376 10230279 12320336 13640372 13973064 18480504 20460558 23870651 27280744 27946128 36961008 40921116 47741302 54561488 71611953 81842232 95482604 143223906 163684464 190965208 286447812 381930416 572895624 1145791248