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893348136 = 233310738653
BaseRepresentation
bin110101001111110…
…110100100101000
32022020222210021000
4311033312210220
53312144120021
6224351315000
731065222342
oct6517664450
92266883230
10893348136
114192a974a
1220b21ba60
13113107a85
1486908292
1553665b26
hex353f6928

893348136 has 64 divisors (see below), whose sum is σ = 2504779200. Its totient is φ = 294992064.

The previous prime is 893348123. The next prime is 893348167. The reversal of 893348136 is 631843398.

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

It is a junction number, because it is equal to n+sod(n) for n = 893348091 and 893348100.

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, 3786 + ... + 42438.

It is an arithmetic number, because the mean of its divisors is an integer number (39137175).

Almost surely, 2893348136 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 893348136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252389600).

893348136 is an abundant number, since it is smaller than the sum of its proper divisors (1611431064).

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

893348136 is a wasteful number, since it uses less digits than its factorization.

893348136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38775 (or 38765 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 893348136 is about 29888.9299908846. The cubic root of 893348136 is about 963.1048691610.

The spelling of 893348136 in words is "eight hundred ninety-three million, three hundred forty-eight thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 107 108 214 216 321 428 642 856 963 1284 1926 2568 2889 3852 5778 7704 11556 23112 38653 77306 115959 154612 231918 309224 347877 463836 695754 927672 1043631 1391508 2087262 2783016 4135871 4174524 8271742 8349048 12407613 16543484 24815226 33086968 37222839 49630452 74445678 99260904 111668517 148891356 223337034 297782712 446674068 893348136