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512426096 = 24713353997
BaseRepresentation
bin11110100010110…
…000000001110000
31022201012221110022
4132202300001300
52022140113341
6122503023012
715461356430
oct3642600160
91281187408
10512426096
11243284346
1212373aa68
1382216010
144c0ac2c0
152eebee4b
hex1e8b0070

512426096 has 80 divisors (see below), whose sum is σ = 1226629824. Its totient is φ = 201940992.

The previous prime is 512426081. The next prime is 512426107. The reversal of 512426096 is 690624215.

It is a happy number.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 513470 + ... + 514466.

Almost surely, 2512426096 is an apocalyptic number.

512426096 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 512426096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613314912).

512426096 is an abundant number, since it is smaller than the sum of its proper divisors (714203728).

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

512426096 is a wasteful number, since it uses less digits than its factorization.

512426096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378 (or 1372 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 512426096 is about 22636.8305201943. The cubic root of 512426096 is about 800.2218634651.

The spelling of 512426096 in words is "five hundred twelve million, four hundred twenty-six thousand, ninety-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 353 364 706 728 997 1412 1456 1994 2471 2824 3988 4589 4942 5648 6979 7976 9178 9884 12961 13958 15952 18356 19768 25922 27916 32123 36712 39536 51844 55832 64246 73424 90727 103688 111664 128492 181454 207376 256984 351941 362908 513968 703882 725816 1407764 1451632 2463587 2815528 4575233 4927174 5631056 9150466 9854348 18300932 19708696 32026631 36601864 39417392 64053262 73203728 128106524 256213048 512426096