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29055400 = 23521147281
BaseRepresentation
bin110111011010…
…1100110101000
32000200011111221
41232311212220
524414233100
62514431424
7501652423
oct156654650
960604457
1029055400
1115445830
129892574
13603405a
143c049ba
15283e01a
hex1bb59a8

29055400 has 96 divisors (see below), whose sum is σ = 75530880. Its totient is φ = 10304000.

The previous prime is 29055391. The next prime is 29055413. The reversal of 29055400 is 455092.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103260 + ... + 103540.

It is an arithmetic number, because the mean of its divisors is an integer number (786780).

Almost surely, 229055400 is an apocalyptic number.

29055400 is a gapful number since it is divisible by the number (20) 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 29055400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37765440).

29055400 is an abundant number, since it is smaller than the sum of its proper divisors (46475480).

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

29055400 is a wasteful number, since it uses less digits than its factorization.

29055400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 29055400 is about 5390.3061137564. The cubic root of 29055400 is about 307.4271976062.

The spelling of 29055400 in words is "twenty-nine million, fifty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 47 50 55 88 94 100 110 188 200 220 235 275 281 376 440 470 517 550 562 940 1034 1100 1124 1175 1405 1880 2068 2200 2248 2350 2585 2810 3091 4136 4700 5170 5620 6182 7025 9400 10340 11240 12364 12925 13207 14050 15455 20680 24728 25850 26414 28100 30910 51700 52828 56200 61820 66035 77275 103400 105656 123640 132070 145277 154550 264140 290554 309100 330175 528280 581108 618200 660350 726385 1162216 1320700 1452770 2641400 2905540 3631925 5811080 7263850 14527700 29055400