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145528290 = 23253974073
BaseRepresentation
bin10001010110010…
…01010111100010
3101010211121021200
420223021113202
5244223401130
622235102030
73414653505
oct1053112742
9333747250
10145528290
1175168616
12408a1916
13241c471b
141548313c
15cb99760
hex8ac95e2

145528290 has 48 divisors (see below), whose sum is σ = 379419768. Its totient is φ = 38700288.

The previous prime is 145528247. The next prime is 145528307. The reversal of 145528290 is 92825541.

145528290 is a `hidden beast` number, since 1 + 45 + 528 + 2 + 90 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 98783721 + 46744569 = 9939^2 + 6837^2 .

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33694 + ... + 37766.

Almost surely, 2145528290 is an apocalyptic number.

145528290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

145528290 is an abundant number, since it is smaller than the sum of its proper divisors (233891478).

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

145528290 is a wasteful number, since it uses less digits than its factorization.

145528290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4483 (or 4480 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 145528290 is about 12063.5106830475. The cubic root of 145528290 is about 525.9960410676.

The spelling of 145528290 in words is "one hundred forty-five million, five hundred twenty-eight thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 397 794 1191 1985 2382 3573 3970 4073 5955 7146 8146 11910 12219 17865 20365 24438 35730 36657 40730 61095 73314 122190 183285 366570 1616981 3233962 4850943 8084905 9701886 14552829 16169810 24254715 29105658 48509430 72764145 145528290