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29692296 = 23323153251
BaseRepresentation
bin111000101000…
…1000110001000
32001212112011200
41301101012020
530100123141
62540224200
7510244314
oct161210610
961775150
1029692296
1115840297
129b3b060
1361c7c0a
143d2cb44
152917ab6
hex1c51188

29692296 has 96 divisors (see below), whose sum is σ = 84913920. Its totient is φ = 9360000.

The previous prime is 29692291. The next prime is 29692301. The reversal of 29692296 is 69229692.

It is an interprime number because it is at equal distance from previous prime (29692291) and next prime (29692301).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (29692291) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118171 + ... + 118421.

It is an arithmetic number, because the mean of its divisors is an integer number (884520).

Almost surely, 229692296 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 29692296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42456960).

29692296 is an abundant number, since it is smaller than the sum of its proper divisors (55221624).

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

29692296 is a wasteful number, since it uses less digits than its factorization.

29692296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 340 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 29692296 is about 5449.0637727962. The cubic root of 29692296 is about 309.6572556008.

The spelling of 29692296 in words is "twenty-nine million, six hundred ninety-two thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 53 62 72 93 106 124 159 186 212 248 251 279 318 372 424 477 502 558 636 744 753 954 1004 1116 1272 1506 1643 1908 2008 2232 2259 3012 3286 3816 4518 4929 6024 6572 7781 9036 9858 13144 13303 14787 15562 18072 19716 23343 26606 29574 31124 39432 39909 46686 53212 59148 62248 70029 79818 93372 106424 118296 119727 140058 159636 186744 239454 280116 319272 412393 478908 560232 824786 957816 1237179 1649572 2474358 3299144 3711537 4948716 7423074 9897432 14846148 29692296