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29955198 = 2371383661
BaseRepresentation
bin111001001000…
…1010001111110
32002100212210210
41302101101332
530132031243
62550013250
7512420640
oct162212176
962325723
1029955198
11159aa869
12a047226
13628a790
143d9a890
15296a933
hex1c9147e

29955198 has 64 divisors (see below), whose sum is σ = 74737152. Its totient is φ = 7793280.

The previous prime is 29955193. The next prime is 29955203. The reversal of 29955198 is 89155992.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (29955193) and next prime (29955203).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29955193) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 44988 + ... + 45648.

It is an arithmetic number, because the mean of its divisors is an integer number (1167768).

Almost surely, 229955198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29955198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37368576).

29955198 is an abundant number, since it is smaller than the sum of its proper divisors (44781954).

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

29955198 is a wasteful number, since it uses less digits than its factorization.

29955198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769.

The product of its digits is 291600, while the sum is 48.

The square root of 29955198 is about 5473.1342026302. The cubic root of 29955198 is about 310.5684954986.

The spelling of 29955198 in words is "twenty-nine million, nine hundred fifty-five thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 83 91 166 182 249 273 498 546 581 661 1079 1162 1322 1743 1983 2158 3237 3486 3966 4627 6474 7553 8593 9254 13881 15106 17186 22659 25779 27762 45318 51558 54863 60151 109726 120302 164589 180453 329178 360906 384041 713219 768082 1152123 1426438 2139657 2304246 4279314 4992533 9985066 14977599 29955198