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29975316 = 2237536733
BaseRepresentation
bin111001001011…
…0001100010100
32002101220101220
41302112030110
530133202231
62550250340
7512533410
oct162261424
962356356
1029975316
1115a13998
12a0569b0
136296997
143da3d40
152971896
hex1c96314

29975316 has 48 divisors (see below), whose sum is σ = 81454464. Its totient is φ = 8401536.

The previous prime is 29975303. The next prime is 29975317. The reversal of 29975316 is 61357992.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29975317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1086 + ... + 7818.

It is an arithmetic number, because the mean of its divisors is an integer number (1696968).

Almost surely, 229975316 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 29975316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40727232).

29975316 is an abundant number, since it is smaller than the sum of its proper divisors (51479148).

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

29975316 is a wasteful number, since it uses less digits than its factorization.

29975316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6800 (or 6798 counting only the distinct ones).

The product of its digits is 102060, while the sum is 42.

The square root of 29975316 is about 5474.9717807492. The cubic root of 29975316 is about 310.6380061812.

The spelling of 29975316 in words is "twenty-nine million, nine hundred seventy-five thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 53 84 106 159 212 318 371 636 742 1113 1484 2226 4452 6733 13466 20199 26932 40398 47131 80796 94262 141393 188524 282786 356849 565572 713698 1070547 1427396 2141094 2497943 4282188 4995886 7493829 9991772 14987658 29975316