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29374950 = 23521119937
BaseRepresentation
bin111000000001…
…1100111100110
32001021101212010
41300003213212
530004444300
62525335050
7504453153
oct160034746
961241763
1029374950
1115643920
129a07486
136116637
143c8922a
1528a3a50
hex1c039e6

29374950 has 96 divisors (see below), whose sum is σ = 83744640. Its totient is φ = 6739200.

The previous prime is 29374937. The next prime is 29374957. The reversal of 29374950 is 5947392.

It is a junction number, because it is equal to n+sod(n) for n = 29374899 and 29374908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29374957) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30882 + ... + 31818.

It is an arithmetic number, because the mean of its divisors is an integer number (872340).

Almost surely, 229374950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29374950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41872320).

29374950 is an abundant number, since it is smaller than the sum of its proper divisors (54369690).

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

29374950 is a wasteful number, since it uses less digits than its factorization.

29374950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 39.

The square root of 29374950 is about 5419.8662345117. The cubic root of 29374950 is about 308.5501145747.

It can be divided in two parts, 2937 and 4950, that added together give a palindrome (7887).

The spelling of 29374950 in words is "twenty-nine million, three hundred seventy-four thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 19 22 25 30 33 38 50 55 57 66 75 95 110 114 150 165 190 209 275 285 330 418 475 550 570 627 825 937 950 1045 1254 1425 1650 1874 2090 2811 2850 3135 4685 5225 5622 6270 9370 10307 10450 14055 15675 17803 20614 23425 28110 30921 31350 35606 46850 51535 53409 61842 70275 89015 103070 106818 140550 154605 178030 195833 257675 267045 309210 391666 445075 515350 534090 587499 773025 890150 979165 1174998 1335225 1546050 1958330 2670450 2937495 4895825 5874990 9791650 14687475 29374950