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1248942384 = 2432311272203
BaseRepresentation
bin100101001110001…
…0101100100110000
310020001002211212100
41022130111210300
510024212124014
6323533100400
742643556304
oct11234254460
93201084770
101248942384
11590aa4998
122aa327700
1316b99c381
14bbc2dd04
15749a7009
hex4a715930

1248942384 has 120 divisors (see below), whose sum is σ = 3638116352. Its totient is φ = 399530880.

The previous prime is 1248942367. The next prime is 1248942407. The reversal of 1248942384 is 4832498421.

It is a nude number because it is divisible by every one of its digits.

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, 565827 + ... + 568029.

Almost surely, 21248942384 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 1248942384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1819058176).

1248942384 is an abundant number, since it is smaller than the sum of its proper divisors (2389173968).

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

1248942384 is a wasteful number, since it uses less digits than its factorization.

1248942384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2375 (or 2366 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 1248942384 is about 35340.3789453367. The cubic root of 1248942384 is about 1076.9134506790.

The spelling of 1248942384 in words is "one billion, two hundred forty-eight million, nine hundred forty-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 127 144 186 248 254 279 372 381 496 508 558 744 762 1016 1116 1143 1488 1524 2032 2203 2232 2286 3048 3937 4406 4464 4572 6096 6609 7874 8812 9144 11811 13218 15748 17624 18288 19827 23622 26436 31496 35248 35433 39654 47244 52872 62992 68293 70866 79308 94488 105744 136586 141732 158616 188976 204879 273172 279781 283464 317232 409758 546344 559562 566928 614637 819516 839343 1092688 1119124 1229274 1639032 1678686 2238248 2458548 2518029 3278064 3357372 4476496 4917096 5036058 6714744 8673211 9834192 10072116 13429488 17346422 20144232 26019633 34692844 40288464 52039266 69385688 78058899 104078532 138771376 156117798 208157064 312235596 416314128 624471192 1248942384