Search a number
-
+
29669376 = 211311439
BaseRepresentation
bin111000100101…
…1100000000000
32001211100201210
41301023200000
530043410001
62535530120
7510120432
oct161134000
961740653
1029669376
1115825050
129b29940
1361ba659
143d24652
152910dd6
hex1c4b800

29669376 has 96 divisors (see below), whose sum is σ = 86486400. Its totient is φ = 8970240.

The previous prime is 29669371. The next prime is 29669377. The reversal of 29669376 is 67396692.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29669371) 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, 67365 + ... + 67803.

It is an arithmetic number, because the mean of its divisors is an integer number (900900).

Almost surely, 229669376 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 29669376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43243200).

29669376 is an abundant number, since it is smaller than the sum of its proper divisors (56817024).

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

29669376 is a wasteful number, since it uses less digits than its factorization.

29669376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 455 counting only the distinct ones).

The product of its digits is 734832, while the sum is 48.

The square root of 29669376 is about 5446.9602532055. The cubic root of 29669376 is about 309.5775584826.

The spelling of 29669376 in words is "twenty-nine million, six hundred sixty-nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 439 512 528 704 768 878 1024 1056 1317 1408 1536 1756 2048 2112 2634 2816 3072 3512 4224 4829 5268 5632 6144 7024 8448 9658 10536 11264 14048 14487 16896 19316 21072 22528 28096 28974 33792 38632 42144 56192 57948 67584 77264 84288 112384 115896 154528 168576 224768 231792 309056 337152 449536 463584 618112 674304 899072 927168 1236224 1348608 1854336 2472448 2697216 3708672 4944896 7417344 9889792 14834688 29669376