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29814246 = 2327311439
BaseRepresentation
bin111000110111…
…0110111100110
32002002201110100
41301232313212
530113023441
62543004530
7511263000
oct161566746
962081410
1029814246
1115913980
129b99746
13623b587
143d61370
15293dcb6
hex1c6ede6

29814246 has 96 divisors (see below), whose sum is σ = 82368000. Its totient is φ = 7726320.

The previous prime is 29814227. The next prime is 29814251. The reversal of 29814246 is 64241892.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 29814246.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67695 + ... + 68133.

It is an arithmetic number, because the mean of its divisors is an integer number (858000).

Almost surely, 229814246 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29814246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41184000).

29814246 is an abundant number, since it is smaller than the sum of its proper divisors (52553754).

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

29814246 is a wasteful number, since it uses less digits than its factorization.

29814246 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 462 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 29814246 is about 5460.2423023159. The cubic root of 29814246 is about 310.0806103237.

It can be divided in two parts, 2981 and 4246, that added together give a palindrome (7227).

The spelling of 29814246 in words is "twenty-nine million, eight hundred fourteen thousand, two hundred forty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 49 63 66 77 98 99 126 147 154 198 231 294 343 439 441 462 539 686 693 878 882 1029 1078 1317 1386 1617 2058 2634 3073 3087 3234 3773 3951 4829 4851 6146 6174 7546 7902 9219 9658 9702 11319 14487 18438 21511 22638 27657 28974 33803 33957 43022 43461 55314 64533 67606 67914 86922 101409 129066 150577 193599 202818 236621 301154 304227 387198 451731 473242 608454 709863 903462 1355193 1419726 1656347 2129589 2710386 3312694 4259178 4969041 9938082 14907123 29814246