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29092224 = 273779137
BaseRepresentation
bin110111011111…
…0100110000000
32000202001000210
41232332212000
524421422344
62515314120
7502164660
oct156764600
960661023
1029092224
1115470467
1298ab940
136047a45
143c141a0
152849db9
hex1bbe980

29092224 has 128 divisors (see below), whose sum is σ = 90086400. Its totient is φ = 8146944.

The previous prime is 29092207. The next prime is 29092237. The reversal of 29092224 is 42229092.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 29092191 and 29092200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212284 + ... + 212420.

It is an arithmetic number, because the mean of its divisors is an integer number (703800).

Almost surely, 229092224 is an apocalyptic number.

29092224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29092224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45043200).

29092224 is an abundant number, since it is smaller than the sum of its proper divisors (60994176).

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

29092224 is a wasteful number, since it uses less digits than its factorization.

29092224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 29092224 is about 5393.7207936637. The cubic root of 29092224 is about 307.5570176509.

The spelling of 29092224 in words is "twenty-nine million, ninety-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 79 84 96 112 128 137 158 168 192 224 237 274 316 336 384 411 448 474 548 553 632 672 822 896 948 959 1096 1106 1264 1344 1644 1659 1896 1918 2192 2212 2528 2688 2877 3288 3318 3792 3836 4384 4424 5056 5754 6576 6636 7584 7672 8768 8848 10112 10823 11508 13152 13272 15168 15344 17536 17696 21646 23016 26304 26544 30336 30688 32469 35392 43292 46032 52608 53088 61376 64938 70784 75761 86584 92064 106176 122752 129876 151522 173168 184128 212352 227283 259752 303044 346336 368256 454566 519504 606088 692672 909132 1039008 1212176 1385344 1818264 2078016 2424352 3636528 4156032 4848704 7273056 9697408 14546112 29092224