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29518086 = 231317113197
BaseRepresentation
bin111000010011…
…0100100000110
32001112200012110
41300212210012
530024034321
62532401450
7505620363
oct160464406
961480173
1029518086
1115731414
129a76286
136166830
143cc546a
1528d1176
hex1c26906

29518086 has 64 divisors (see below), whose sum is σ = 68257728. Its totient is φ = 8429568.

The previous prime is 29518079. The next prime is 29518109. The reversal of 29518086 is 68081592.

29518086 is a nontrivial binomial coefficient, being equal to C(7684, 2).

It is a super-2 number, since 2×295180862 = 1742634802206792, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149740 + ... + 149936.

It is an arithmetic number, because the mean of its divisors is an integer number (1066527).

Almost surely, 229518086 is an apocalyptic number.

29518086 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

29518086 is the 7683-rd triangular number and also the 3842-nd hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29518086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34128864).

29518086 is an abundant number, since it is smaller than the sum of its proper divisors (38739642).

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

29518086 is a wasteful number, since it uses less digits than its factorization.

29518086 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345.

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 29518086 is about 5433.0549417432. The cubic root of 29518086 is about 309.0504625328.

It can be divided in two parts, 295 and 18086, that added together give a palindrome (18381).

The spelling of 29518086 in words is "twenty-nine million, five hundred eighteen thousand, eighty-six".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 113 197 221 226 339 394 442 591 663 678 1182 1326 1469 1921 2561 2938 3349 3842 4407 5122 5763 6698 7683 8814 10047 11526 15366 20094 22261 24973 43537 44522 49946 66783 74919 87074 130611 133566 149838 261222 289393 378437 578786 756874 868179 1135311 1736358 2270622 4919681 9839362 14759043 29518086