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145767856 = 24133132239
BaseRepresentation
bin10001011000000…
…11110110110000
3101011021202220111
420230003312300
5244304032411
622244151104
73420002113
oct1054036660
9334252814
10145767856
1175311603
1240998494
1324279790
141550657a
15cbe5721
hex8b03db0

145767856 has 40 divisors (see below), whose sum is σ = 305258240. Its totient is φ = 67032576.

The previous prime is 145767841. The next prime is 145767917. The reversal of 145767856 is 658767541.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63985 + ... + 66223.

It is an arithmetic number, because the mean of its divisors is an integer number (7631456).

Almost surely, 2145767856 is an apocalyptic number.

145767856 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 145767856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152629120).

145767856 is an abundant number, since it is smaller than the sum of its proper divisors (159490384).

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

145767856 is a wasteful number, since it uses less digits than its factorization.

145767856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2573 (or 2567 counting only the distinct ones).

The product of its digits is 1411200, while the sum is 49.

The square root of 145767856 is about 12073.4359649604. The cubic root of 145767856 is about 526.2845111770.

The spelling of 145767856 in words is "one hundred forty-five million, seven hundred sixty-seven thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 52 104 208 313 626 1252 2239 2504 4069 4478 5008 8138 8956 16276 17912 29107 32552 35824 58214 65104 116428 232856 465712 700807 1401614 2803228 5606456 9110491 11212912 18220982 36441964 72883928 145767856