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29989248 = 273292693
BaseRepresentation
bin111001001100…
…1100110000000
32002102121111220
41302121212000
530134123443
62550435040
7512622132
oct162314600
962377456
1029989248
1115a23403
12a062a80
1362a0123
143da9052
152975a83
hex1c99980

29989248 has 64 divisors (see below), whose sum is σ = 82436400. Its totient is φ = 9648128.

The previous prime is 29989237. The next prime is 29989249. The reversal of 29989248 is 84298992.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 29989248.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29989249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9790 + ... + 12482.

Almost surely, 229989248 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 29989248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41218200).

29989248 is an abundant number, since it is smaller than the sum of its proper divisors (52447152).

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

29989248 is a wasteful number, since it uses less digits than its factorization.

29989248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2739 (or 2727 counting only the distinct ones).

The product of its digits is 746496, while the sum is 51.

The square root of 29989248 is about 5476.2439682688. The cubic root of 29989248 is about 310.6861250888.

It can be divided in two parts, 2998 and 9248, that added together give a triangular number (12246 = T156).

The spelling of 29989248 in words is "twenty-nine million, nine hundred eighty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 348 384 464 696 928 1392 1856 2693 2784 3712 5386 5568 8079 10772 11136 16158 21544 32316 43088 64632 78097 86176 129264 156194 172352 234291 258528 312388 344704 468582 517056 624776 937164 1034112 1249552 1874328 2499104 3748656 4998208 7497312 9996416 14994624 29989248