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512346996 = 223277327851
BaseRepresentation
bin11110100010011…
…100101101110100
31022201001220221200
4132202130231310
52022130100441
6122501212500
715460610010
oct3642345564
91281056850
10512346996
1124322a977
12123701130
13821b9005
144c08b540
152eea67b6
hex1e89cb74

512346996 has 72 divisors (see below), whose sum is σ = 1500442944. Its totient is φ = 144374400.

The previous prime is 512346977. The next prime is 512346997. The reversal of 512346996 is 699643215.

512346996 is a `hidden beast` number, since 512 + 3 + 46 + 9 + 96 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512346997) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4471 + ... + 32321.

Almost surely, 2512346996 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 512346996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750221472).

512346996 is an abundant number, since it is smaller than the sum of its proper divisors (988095948).

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

512346996 is a wasteful number, since it uses less digits than its factorization.

512346996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27941 (or 27936 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 512346996 is about 22635.0833000455. The cubic root of 512346996 is about 800.1806862709.

The spelling of 512346996 in words is "five hundred twelve million, three hundred forty-six thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 73 84 126 146 219 252 292 438 511 657 876 1022 1314 1533 2044 2628 3066 4599 6132 9198 18396 27851 55702 83553 111404 167106 194957 250659 334212 389914 501318 584871 779828 1002636 1169742 1754613 2033123 2339484 3509226 4066246 6099369 7018452 8132492 12198738 14231861 18298107 24397476 28463722 36596214 42695583 56927444 73192428 85391166 128086749 170782332 256173498 512346996