Search a number
-
+
29669808 = 2437227389
BaseRepresentation
bin111000100101…
…1100110110000
32001211101022210
41301023212300
530043413213
62535532120
7510121620
oct161134660
961741283
1029669808
1115825403
129b2a040
1361ba8cc
143d24880
1529110c3
hex1c4b9b0

29669808 has 80 divisors (see below), whose sum is σ = 88208640. Its totient is φ = 8418048.

The previous prime is 29669807. The next prime is 29669833. The reversal of 29669808 is 80896692.

It is a Cunningham number, because it is equal to 54472-1.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (29669803) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76078 + ... + 76466.

It is an arithmetic number, because the mean of its divisors is an integer number (1102608).

Almost surely, 229669808 is an apocalyptic number.

29669808 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 29669808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44104320).

29669808 is an abundant number, since it is smaller than the sum of its proper divisors (58538832).

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

29669808 is a wasteful number, since it uses less digits than its factorization.

29669808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The square root of 29669808 is about 5446.9999082064. Note that the first 4 decimals coincide. The cubic root of 29669808 is about 309.5790610067.

The spelling of 29669808 in words is "twenty-nine million, six hundred sixty-nine thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 227 336 389 454 681 778 908 1167 1362 1556 1589 1816 2334 2723 2724 3112 3178 3632 4668 4767 5446 5448 6224 6356 8169 9336 9534 10892 10896 12712 16338 18672 19068 21784 25424 32676 38136 43568 65352 76272 88303 130704 176606 264909 353212 529818 618121 706424 1059636 1236242 1412848 1854363 2119272 2472484 3708726 4238544 4944968 7417452 9889936 14834904 29669808