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1142785848 = 233374992579
BaseRepresentation
bin100010000011101…
…1000011100111000
32221122100112110210
41010013120130320
54320023121343
6305221511120
740214343111
oct10407303470
92848315423
101142785848
11537088a16
1227a8724a0
131529b1559
14abab9208
156a4d8333
hex441d8738

1142785848 has 64 divisors (see below), whose sum is σ = 2941200000. Its totient is φ = 369747072.

The previous prime is 1142785823. The next prime is 1142785867. The reversal of 1142785848 is 8485872411.

It is a junction number, because it is equal to n+sod(n) for n = 1142785797 and 1142785806.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 441823 + ... + 444401.

It is an arithmetic number, because the mean of its divisors is an integer number (45956250).

Almost surely, 21142785848 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 1142785848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470600000).

1142785848 is an abundant number, since it is smaller than the sum of its proper divisors (1798414152).

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

1142785848 is a wasteful number, since it uses less digits than its factorization.

1142785848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3124 (or 3120 counting only the distinct ones).

The product of its digits is 573440, while the sum is 48.

The square root of 1142785848 is about 33805.1157075375. The cubic root of 1142785848 is about 1045.4941758908.

The spelling of 1142785848 in words is "one billion, one hundred forty-two million, seven hundred eighty-five thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 499 888 998 1497 1996 2579 2994 3992 5158 5988 7737 10316 11976 15474 18463 20632 30948 36926 55389 61896 73852 95423 110778 147704 190846 221556 286269 381692 443112 572538 763384 1145076 1286921 2290152 2573842 3860763 5147684 7721526 10295368 15443052 30886104 47616077 95232154 142848231 190464308 285696462 380928616 571392924 1142785848