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145199808 = 26321319391
BaseRepresentation
bin10001010011110…
…01001011000000
3101010012220200200
420221321023000
5244132343213
622224045200
73412115025
oct1051711300
9333186620
10145199808
1174a63846
1240763800
132410b060
14153d954c
15cb32273
hex8a792c0

145199808 has 84 divisors (see below), whose sum is σ = 448226688. Its totient is φ = 44674560.

The previous prime is 145199783. The next prime is 145199809. The reversal of 145199808 is 808991541.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (145199809) 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 11 ways as a sum of consecutive naturals, for example, 2208 + ... + 17183.

It is an arithmetic number, because the mean of its divisors is an integer number (5336032).

Almost surely, 2145199808 is an apocalyptic number.

145199808 is a gapful number since it is divisible by the number (18) 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 145199808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224113344).

145199808 is an abundant number, since it is smaller than the sum of its proper divisors (303026880).

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

145199808 is a wasteful number, since it uses less digits than its factorization.

145199808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19422 (or 19409 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The square root of 145199808 is about 12049.8882982375. Note that the first 3 decimals coincide. The cubic root of 145199808 is about 525.5999888799.

The spelling of 145199808 in words is "one hundred forty-five million, one hundred ninety-nine thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1872 2496 3744 7488 19391 38782 58173 77564 116346 155128 174519 232692 252083 310256 349038 465384 504166 620512 698076 756249 930768 1008332 1241024 1396152 1512498 1861536 2016664 2268747 2792304 3024996 3723072 4033328 4537494 5584608 6049992 8066656 9074988 11169216 12099984 16133312 18149976 24199968 36299952 48399936 72599904 145199808