Search a number
-
+
29119896 = 23321353587
BaseRepresentation
bin110111100010…
…1010110011000
32000210102222200
41233011112120
524423314041
62520050200
7502341441
oct157052630
960712880
1029119896
111548a233
129903960
136057510
143c202c8
1528531b6
hex1bc5598

29119896 has 96 divisors (see below), whose sum is σ = 86682960. Its totient is φ = 8775936.

The previous prime is 29119877. The next prime is 29119903. The reversal of 29119896 is 69891192.

29119896 is a nontrivial binomial coefficient, being equal to C(7632, 2).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49315 + ... + 49901.

Almost surely, 229119896 is an apocalyptic number.

29119896 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

29119896 is the 7631-st triangular number and also the 3816-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29119896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43341480).

29119896 is an abundant number, since it is smaller than the sum of its proper divisors (57563064).

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

29119896 is a wasteful number, since it uses less digits than its factorization.

29119896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 658 counting only the distinct ones).

The product of its digits is 69984, while the sum is 45.

The square root of 29119896 is about 5396.2853890431. The cubic root of 29119896 is about 307.6545009830.

The spelling of 29119896 in words is "twenty-nine million, one hundred nineteen thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 53 72 78 104 106 117 156 159 212 234 312 318 424 468 477 587 636 689 936 954 1174 1272 1378 1761 1908 2067 2348 2756 3522 3816 4134 4696 5283 5512 6201 7044 7631 8268 10566 12402 14088 15262 16536 21132 22893 24804 30524 31111 42264 45786 49608 61048 62222 68679 91572 93333 124444 137358 183144 186666 248888 274716 279999 373332 404443 549432 559998 746664 808886 1119996 1213329 1617772 2239992 2426658 3235544 3639987 4853316 7279974 9706632 14559948 29119896