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29428686 = 2327311751
BaseRepresentation
bin111000001000…
…0101111001110
32001101010120100
41300100233032
530013204221
62530431530
7505065630
oct160205716
961333510
1029428686
1115680231
129a325a6
136134c31
143ca0a50
1528b4926
hex1c10bce

29428686 has 48 divisors (see below), whose sum is σ = 73202688. Its totient is φ = 8370000.

The previous prime is 29428667. The next prime is 29428691. The reversal of 29428686 is 68682492.

29428686 is a `hidden beast` number, since 294 + 286 + 86 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38811 + ... + 39561.

It is an arithmetic number, because the mean of its divisors is an integer number (1525056).

Almost surely, 229428686 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29428686, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36601344).

29428686 is an abundant number, since it is smaller than the sum of its proper divisors (43774002).

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

29428686 is a wasteful number, since it uses less digits than its factorization.

29428686 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1074 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 29428686 is about 5424.8212873790. The cubic root of 29428686 is about 308.7381449550.

It can be divided in two parts, 2942 and 8686, that added together give a triangular number (11628 = T152).

The spelling of 29428686 in words is "twenty-nine million, four hundred twenty-eight thousand, six hundred eighty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 311 622 751 933 1502 1866 2177 2253 2799 4354 4506 5257 5598 6531 6759 10514 13062 13518 15771 19593 31542 39186 47313 94626 233561 467122 700683 1401366 1634927 2102049 3269854 4204098 4904781 9809562 14714343 29428686