Search a number
-
+
29296896 = 283371031
BaseRepresentation
bin110111111000…
…0100100000000
32001010102210020
41233300210000
530000000041
62523533440
7504006456
oct157604400
961112706
1029296896
11155a0212
12998a280
1360b9c55
143c689d6
15288a866
hex1bf0900

29296896 has 72 divisors (see below), whose sum is σ = 80157504. Its totient is φ = 9492480.

The previous prime is 29296877. The next prime is 29296901. The reversal of 29296896 is 69869292.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27901 + ... + 28931.

Almost surely, 229296896 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 29296896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40078752).

29296896 is an abundant number, since it is smaller than the sum of its proper divisors (50860608).

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

29296896 is a wasteful number, since it uses less digits than its factorization.

29296896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1087 (or 1073 counting only the distinct ones).

The product of its digits is 839808, while the sum is 51.

The square root of 29296896 is about 5412.6607135493. The cubic root of 29296896 is about 308.2765829488.

The spelling of 29296896 in words is "twenty-nine million, two hundred ninety-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 256 296 384 444 592 768 888 1031 1184 1776 2062 2368 3093 3552 4124 4736 6186 7104 8248 9472 12372 14208 16496 24744 28416 32992 38147 49488 65984 76294 98976 114441 131968 152588 197952 228882 263936 305176 395904 457764 610352 791808 915528 1220704 1831056 2441408 3662112 4882816 7324224 9765632 14648448 29296896