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145609416 = 23329720849
BaseRepresentation
bin10001010110111…
…01001011001000
3101010222201120100
420223131023020
5244234000131
622240525400
73415442151
oct1053351310
9333881510
10145609416
1175213567
1240920860
1324222624
14154a4928
15cbb37e6
hex8add2c8

145609416 has 48 divisors (see below), whose sum is σ = 398443500. Its totient is φ = 48033792.

The previous prime is 145609363. The next prime is 145609417. The reversal of 145609416 is 614906541.

145609416 is a `hidden beast` number, since 1 + 4 + 5 + 609 + 41 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 138156516 + 7452900 = 11754^2 + 2730^2 .

It is a super-2 number, since 2×1456094162 = 42404204055722112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (145609417) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3441 + ... + 17408.

Almost surely, 2145609416 is an apocalyptic number.

It is an amenable number.

145609416 is an abundant number, since it is smaller than the sum of its proper divisors (252834084).

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

145609416 is a wasteful number, since it uses less digits than its factorization.

145609416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20958 (or 20951 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 145609416 is about 12066.8726685915. The cubic root of 145609416 is about 526.0937632539.

The spelling of 145609416 in words is "one hundred forty-five million, six hundred nine thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 97 194 291 388 582 776 873 1164 1746 2328 3492 6984 20849 41698 62547 83396 125094 166792 187641 250188 375282 500376 750564 1501128 2022353 4044706 6067059 8089412 12134118 16178824 18201177 24268236 36402354 48536472 72804708 145609416