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145435776 = 273378739
BaseRepresentation
bin10001010101100…
…10110010000000
3101010122220101020
420222302302000
5244212421101
622233105440
73414120003
oct1052626200
9333586336
10145435776
1175105062
1240858280
1324191595
141545b53a
15cb7c136
hex8ab2c80

145435776 has 32 divisors (see below), whose sum is σ = 386314800. Its totient is φ = 48478464.

The previous prime is 145435751. The next prime is 145435777. The reversal of 145435776 is 677534541.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (145435777) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 188986 + ... + 189753.

Almost surely, 2145435776 is an apocalyptic number.

145435776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

145435776 is an abundant number, since it is smaller than the sum of its proper divisors (240879024).

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

145435776 is an equidigital number, since it uses as much as digits as its factorization.

145435776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378756 (or 378744 counting only the distinct ones).

The product of its digits is 352800, while the sum is 42.

The square root of 145435776 is about 12059.6756175280. The cubic root of 145435776 is about 525.8845568720.

The spelling of 145435776 in words is "one hundred forty-five million, four hundred thirty-five thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 378739 757478 1136217 1514956 2272434 3029912 4544868 6059824 9089736 12119648 18179472 24239296 36358944 48478592 72717888 145435776