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145092042 = 232171373461
BaseRepresentation
bin10001010010111…
…10110111001010
3101010000102212100
420221132313022
5244120421132
622221454230
73411155604
oct1051366712
9333012770
10145092042
117499a887
1240711376
13240a0ca4
14153ac174
15cb1037c
hex8a5edca

145092042 has 48 divisors (see below), whose sum is σ = 335384712. Its totient is φ = 45173760.

The previous prime is 145092023. The next prime is 145092047. The reversal of 145092042 is 240290541.

145092042 is a `hidden beast` number, since 1 + 450 + 9 + 204 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 126765081 + 18326961 = 11259^2 + 4281^2 .

It is a junction number, because it is equal to n+sod(n) for n = 145091997 and 145092015.

It is not an unprimeable number, because it can be changed into a prime (145092047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40192 + ... + 43652.

Almost surely, 2145092042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145092042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167692356).

145092042 is an abundant number, since it is smaller than the sum of its proper divisors (190292670).

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

145092042 is a wasteful number, since it uses less digits than its factorization.

145092042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3623 (or 3620 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 145092042 is about 12045.4158085140. The cubic root of 145092042 is about 525.4699248254.

The spelling of 145092042 in words is "one hundred forty-five million, ninety-two thousand, forty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 137 153 274 306 411 822 1233 2329 2466 3461 4658 6922 6987 10383 13974 20766 20961 31149 41922 58837 62298 117674 176511 353022 474157 529533 948314 1059066 1422471 2844942 4267413 8060669 8534826 16121338 24182007 48364014 72546021 145092042