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29980248 = 23317197373
BaseRepresentation
bin111001001011…
…1011001011000
32002102011011120
41302113121120
530133331443
62550325240
7512553654
oct162273130
962364146
1029980248
1115a17671
12a059820
136298cbc
143da5a64
152973083
hex1c97658

29980248 has 64 divisors (see below), whose sum is σ = 79976160. Its totient is φ = 9332736.

The previous prime is 29980243. The next prime is 29980253. The reversal of 29980248 is 84208992.

It is an interprime number because it is at equal distance from previous prime (29980243) and next prime (29980253).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29980241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80190 + ... + 80562.

Almost surely, 229980248 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 29980248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39988080).

29980248 is an abundant number, since it is smaller than the sum of its proper divisors (49995912).

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

29980248 is a wasteful number, since it uses less digits than its factorization.

29980248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 29980248 is about 5475.4221755039. The cubic root of 29980248 is about 310.6550422277.

The spelling of 29980248 in words is "twenty-nine million, nine hundred eighty thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 197 204 373 394 408 591 746 788 1119 1182 1492 1576 2238 2364 2984 3349 4476 4728 6341 6698 8952 10047 12682 13396 19023 20094 25364 26792 38046 40188 50728 73481 76092 80376 146962 152184 220443 293924 440886 587848 881772 1249177 1763544 2498354 3747531 4996708 7495062 9993416 14990124 29980248