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512109072 = 24324917243
BaseRepresentation
bin11110100001100…
…010101000010000
31022200121211120200
4132201202220100
52022044442242
6122452135200
715455566236
oct3641425020
91280554520
10512109072
11243088142
12123607500
1382134927
144c028956
152ee5b04c
hex1e862a10

512109072 has 60 divisors (see below), whose sum is σ = 1436311344. Its totient is φ = 170331840.

The previous prime is 512109029. The next prime is 512109077. The reversal of 512109072 is 270901215.

It is not an unprimeable number, because it can be changed into a prime (512109077) 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 11 ways as a sum of consecutive naturals, for example, 67083 + ... + 74325.

Almost surely, 2512109072 is an apocalyptic number.

It is an amenable number.

512109072 is an abundant number, since it is smaller than the sum of its proper divisors (924202272).

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

512109072 is a wasteful number, since it uses less digits than its factorization.

512109072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7748 (or 7739 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 512109072 is about 22629.8270430863. The cubic root of 512109072 is about 800.0568042998.

The spelling of 512109072 in words is "five hundred twelve million, one hundred nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 491 982 1473 1964 2946 3928 4419 5892 7243 7856 8838 11784 14486 17676 21729 23568 28972 35352 43458 57944 65187 70704 86916 115888 130374 173832 260748 347664 521496 1042992 3556313 7112626 10668939 14225252 21337878 28450504 32006817 42675756 56901008 64013634 85351512 128027268 170703024 256054536 512109072