Search a number
-
+
29949108 = 2237596043
BaseRepresentation
bin111001000111…
…1110010110100
32002100120110020
41302033302310
530131332413
62545525140
7512364120
oct162176264
962316406
1029949108
11159a6232
12a0437b0
136287a87
143d98580
152968c23
hex1c8fcb4

29949108 has 48 divisors (see below), whose sum is σ = 81231360. Its totient is φ = 8410464.

The previous prime is 29949091. The next prime is 29949119. The reversal of 29949108 is 80194992.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 29949108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1935 + ... + 7977.

It is an arithmetic number, because the mean of its divisors is an integer number (1692320).

Almost surely, 229949108 is an apocalyptic number.

29949108 is a gapful number since it is divisible by the number (28) 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 29949108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40615680).

29949108 is an abundant number, since it is smaller than the sum of its proper divisors (51282252).

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

29949108 is a wasteful number, since it uses less digits than its factorization.

29949108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6116 (or 6114 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The square root of 29949108 is about 5472.5778203695. The cubic root of 29949108 is about 310.5474475063.

The spelling of 29949108 in words is "twenty-nine million, nine hundred forty-nine thousand, one hundred eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 59 84 118 177 236 354 413 708 826 1239 1652 2478 4956 6043 12086 18129 24172 36258 42301 72516 84602 126903 169204 253806 356537 507612 713074 1069611 1426148 2139222 2495759 4278444 4991518 7487277 9983036 14974554 29949108