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29697048 = 23322379227
BaseRepresentation
bin111000101001…
…0010000011000
32001212202200200
41301102100120
530100301143
62540302200
7510264213
oct161222030
961782620
1029697048
1115843917
129b41960
1361ca124
143d3077a
1529191d3
hex1c52418

29697048 has 96 divisors (see below), whose sum is σ = 85363200. Its totient is φ = 9307584.

The previous prime is 29697037. The next prime is 29697049. The reversal of 29697048 is 84079692.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 29696994 and 29697012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29697049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130711 + ... + 130937.

It is an arithmetic number, because the mean of its divisors is an integer number (889200).

Almost surely, 229697048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29697048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42681600).

29697048 is an abundant number, since it is smaller than the sum of its proper divisors (55666152).

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

29697048 is a wasteful number, since it uses less digits than its factorization.

29697048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 29697048 is about 5449.4997935590. The cubic root of 29697048 is about 309.6737740582.

It can be divided in two parts, 296 and 97048, that added together give a square (97344 = 3122).

The spelling of 29697048 in words is "twenty-nine million, six hundred ninety-seven thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 79 92 138 158 184 207 227 237 276 316 414 454 474 552 632 681 711 828 908 948 1362 1422 1656 1816 1817 1896 2043 2724 2844 3634 4086 5221 5448 5451 5688 7268 8172 10442 10902 14536 15663 16344 16353 17933 20884 21804 31326 32706 35866 41768 43608 46989 53799 62652 65412 71732 93978 107598 125304 130824 143464 161397 187956 215196 322794 375912 412459 430392 645588 824918 1237377 1291176 1649836 2474754 3299672 3712131 4949508 7424262 9899016 14848524 29697048