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145438992 = 24321009993
BaseRepresentation
bin10001010101100…
…11100100010000
3101010200001210100
420222303210100
5244213021432
622233132400
73414132246
oct1052634420
9333601710
10145438992
1175107516
124085a100
1324192b9a
141545c796
15cb7d07c
hex8ab3910

145438992 has 30 divisors (see below), whose sum is σ = 407027582. Its totient is φ = 48479616.

The previous prime is 145438919. The next prime is 145438999. The reversal of 145438992 is 299834541.

145438992 is a `hidden beast` number, since 14 + 543 + 8 + 9 + 92 = 666.

It can be written as a sum of positive squares in only one way, i.e., 104530176 + 40908816 = 10224^2 + 6396^2 .

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 (145438999) 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 5 ways as a sum of consecutive naturals, for example, 504853 + ... + 505140.

Almost surely, 2145438992 is an apocalyptic number.

145438992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

145438992 is an abundant number, since it is smaller than the sum of its proper divisors (261588590).

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

145438992 is a wasteful number, since it uses less digits than its factorization.

145438992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010007 (or 1009998 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 145438992 is about 12059.8089537107. The cubic root of 145438992 is about 525.8884331128. Note that the first 3 decimals are identical.

The spelling of 145438992 in words is "one hundred forty-five million, four hundred thirty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1009993 2019986 3029979 4039972 6059958 8079944 9089937 12119916 16159888 18179874 24239832 36359748 48479664 72719496 145438992