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1208285056 = 27111097873
BaseRepresentation
bin100100000000100…
…1111011110000000
310010012121020111101
41020001033132000
54433310110211
6315521424144
741641152646
oct11001173600
93105536441
101208285056
115700554a0
1229879b054
13163435594
14b6689196
15711255c1
hex4804f780

1208285056 has 64 divisors (see below), whose sum is σ = 2650388400. Its totient is φ = 544112640.

The previous prime is 1208285053. The next prime is 1208285083. The reversal of 1208285056 is 6505828021.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1208285053) 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 7 ways as a sum of consecutive naturals, for example, 149536 + ... + 157408.

Almost surely, 21208285056 is an apocalyptic number.

1208285056 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 1208285056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325194200).

1208285056 is an abundant number, since it is smaller than the sum of its proper divisors (1442103344).

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

1208285056 is a wasteful number, since it uses less digits than its factorization.

1208285056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8007 (or 7995 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 37.

The square root of 1208285056 is about 34760.3949344653. The cubic root of 1208285056 is about 1065.0985694951.

The spelling of 1208285056 in words is "one billion, two hundred eight million, two hundred eighty-five thousand, fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 109 128 176 218 352 436 704 872 1199 1408 1744 2398 3488 4796 6976 7873 9592 13952 15746 19184 31492 38368 62984 76736 86603 125968 153472 173206 251936 346412 503872 692824 858157 1007744 1385648 1716314 2771296 3432628 5542592 6865256 9439727 11085184 13730512 18879454 27461024 37758908 54922048 75517816 109844096 151035632 302071264 604142528 1208285056