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1048273056 = 253310911131
BaseRepresentation
bin111110011110110…
…110000010100000
32201001111210022000
4332132312002200
54121324214211
6252004044000
734656113445
oct7636660240
92631453260
101048273056
114987a5076
12253093600
1313923c51c
149d3159cc
1562069656
hex3e7b60a0

1048273056 has 96 divisors (see below), whose sum is σ = 3085790400. Its totient is φ = 346187520.

The previous prime is 1048273033. The next prime is 1048273067. The reversal of 1048273056 is 6503728401.

1048273056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1048273056.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88611 + ... + 99741.

It is an arithmetic number, because the mean of its divisors is an integer number (32143650).

Almost surely, 21048273056 is an apocalyptic number.

1048273056 is a gapful number since it is divisible by the number (16) 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 1048273056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542895200).

1048273056 is an abundant number, since it is smaller than the sum of its proper divisors (2037517344).

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

1048273056 is a wasteful number, since it uses less digits than its factorization.

1048273056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11259 (or 11245 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1048273056 is about 32377.0452018093. The cubic root of 1048273056 is about 1015.8388257777.

It can be divided in two parts, 10482 and 73056, that added together give a palindrome (83538).

The spelling of 1048273056 in words is "one billion, forty-eight million, two hundred seventy-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 109 144 216 218 288 327 432 436 654 864 872 981 1308 1744 1962 2616 2943 3488 3924 5232 5886 7848 10464 11131 11772 15696 22262 23544 31392 33393 44524 47088 66786 89048 94176 100179 133572 178096 200358 267144 300537 356192 400716 534288 601074 801432 1068576 1202148 1213279 1602864 2404296 2426558 3205728 3639837 4808592 4853116 7279674 9617184 9706232 10919511 14559348 19412464 21839022 29118696 32758533 38824928 43678044 58237392 65517066 87356088 116474784 131034132 174712176 262068264 349424352 524136528 1048273056