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29284950 = 23521011933
BaseRepresentation
bin110111110110…
…1101001010110
32001002211101210
41233231221112
524444104300
62523402250
7503626602
oct157555126
961084353
1029284950
1115592242
129983386
1360b4696
143c64502
152887050
hex1beda56

29284950 has 48 divisors (see below), whose sum is σ = 73383696. Its totient is φ = 7728000.

The previous prime is 29284949. The next prime is 29284993. The reversal of 29284950 is 5948292.

It is a junction number, because it is equal to n+sod(n) for n = 29284899 and 29284908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14184 + ... + 16116.

It is an arithmetic number, because the mean of its divisors is an integer number (1528827).

Almost surely, 229284950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29284950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36691848).

29284950 is an abundant number, since it is smaller than the sum of its proper divisors (44098746).

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

29284950 is a wasteful number, since it uses less digits than its factorization.

29284950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2049 (or 2044 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 29284950 is about 5411.5570772191. The cubic root of 29284950 is about 308.2346766582.

The spelling of 29284950 in words is "twenty-nine million, two hundred eighty-four thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 101 150 202 303 505 606 1010 1515 1933 2525 3030 3866 5050 5799 7575 9665 11598 15150 19330 28995 48325 57990 96650 144975 195233 289950 390466 585699 976165 1171398 1952330 2928495 4880825 5856990 9761650 14642475 29284950