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145436976 = 24324212399
BaseRepresentation
bin10001010101100…
…11000100110000
3101010122222000200
420222303010300
5244212440401
622233115200
73414123336
oct1052630460
9333588020
10145436976
1175105a53
1240858b00
1324191ca9
141545bb56
15cb7c686
hex8ab3130

145436976 has 60 divisors (see below), whose sum is σ = 408158400. Its totient is φ = 48343680.

The previous prime is 145436959. The next prime is 145437007. The reversal of 145436976 is 679634541.

145436976 is a `hidden beast` number, since 14 + 543 + 6 + 97 + 6 = 666.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 59425 + ... + 61823.

It is an arithmetic number, because the mean of its divisors is an integer number (6802640).

Almost surely, 2145436976 is an apocalyptic number.

145436976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

145436976 is an abundant number, since it is smaller than the sum of its proper divisors (262721424).

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

145436976 is a wasteful number, since it uses less digits than its factorization.

145436976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2834 (or 2825 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 145436976 is about 12059.7253700074. The cubic root of 145436976 is about 525.8860032372.

The spelling of 145436976 in words is "one hundred forty-five million, four hundred thirty-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 421 842 1263 1684 2399 2526 3368 3789 4798 5052 6736 7197 7578 9596 10104 14394 15156 19192 20208 21591 28788 30312 38384 43182 57576 60624 86364 115152 172728 345456 1009979 2019958 3029937 4039916 6059874 8079832 9089811 12119748 16159664 18179622 24239496 36359244 48478992 72718488 145436976