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29934592 = 210233141
BaseRepresentation
bin111001000110…
…0010000000000
32002022211112121
41302030100000
530130401332
62545334024
7512303602
oct162142000
962284477
1029934592
1115996336
12a037314
13628129c
143d93172
152964797
hex1c8c400

29934592 has 88 divisors (see below), whose sum is σ = 66028032. Its totient is φ = 13516800.

The previous prime is 29934571. The next prime is 29934607. The reversal of 29934592 is 29543992.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 730092 + ... + 730132.

Almost surely, 229934592 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 29934592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33014016).

29934592 is an abundant number, since it is smaller than the sum of its proper divisors (36093440).

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

29934592 is a wasteful number, since it uses less digits than its factorization.

29934592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 97 counting only the distinct ones).

The product of its digits is 174960, while the sum is 43.

The square root of 29934592 is about 5471.2514107835. The cubic root of 29934592 is about 310.4972664319.

The spelling of 29934592 in words is "twenty-nine million, nine hundred thirty-four thousand, five hundred ninety-two".

Divisors: 1 2 4 8 16 23 31 32 41 46 62 64 82 92 124 128 164 184 248 256 328 368 496 512 656 713 736 943 992 1024 1271 1312 1426 1472 1886 1984 2542 2624 2852 2944 3772 3968 5084 5248 5704 5888 7544 7936 10168 10496 11408 11776 15088 15872 20336 20992 22816 23552 29233 30176 31744 40672 41984 45632 58466 60352 81344 91264 116932 120704 162688 182528 233864 241408 325376 365056 467728 482816 650752 730112 935456 965632 1301504 1870912 3741824 7483648 14967296 29934592