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146228768 = 2571076101
BaseRepresentation
bin10001011011101…
…00011000100000
3101012011012011022
420231310120200
5244413310033
622302105012
73423631640
oct1055643040
9335135138
10146228768
11755a6924
1240b7b168
13243ab4ca
14155c6520
15cc87098
hex8b74620

146228768 has 48 divisors (see below), whose sum is σ = 332144064. Its totient is φ = 62073600.

The previous prime is 146228743. The next prime is 146228777. The reversal of 146228768 is 867822641.

It is an unprimeable number.

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, 20918 + ... + 27018.

It is an arithmetic number, because the mean of its divisors is an integer number (6919668).

Almost surely, 2146228768 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 146228768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166072032).

146228768 is an abundant number, since it is smaller than the sum of its proper divisors (185915296).

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

146228768 is a wasteful number, since it uses less digits than its factorization.

146228768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6225 (or 6217 counting only the distinct ones).

The product of its digits is 258048, while the sum is 44.

The square root of 146228768 is about 12092.5087554237. The cubic root of 146228768 is about 526.8386242603.

The spelling of 146228768 in words is "one hundred forty-six million, two hundred twenty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 107 112 214 224 428 749 856 1498 1712 2996 3424 5992 6101 11984 12202 23968 24404 42707 48808 85414 97616 170828 195232 341656 652807 683312 1305614 1366624 2611228 4569649 5222456 9139298 10444912 18278596 20889824 36557192 73114384 146228768