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29906856 = 233274173
BaseRepresentation
bin111001000010…
…1011110101000
32002021102111100
41302011132220
530124004411
62545001400
7512130000
oct162053650
962242440
1029906856
1115977511
12a023260
136271785
143d87000
15295b456
hex1c857a8

29906856 has 120 divisors (see below), whose sum is σ = 95037930. Its totient is φ = 8495424.

The previous prime is 29906839. The next prime is 29906867. The reversal of 29906856 is 65860992.

It can be written as a sum of positive squares in only one way, i.e., 19448100 + 10458756 = 4410^2 + 3234^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 172786 + ... + 172958.

Almost surely, 229906856 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 29906856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47518965).

29906856 is an abundant number, since it is smaller than the sum of its proper divisors (65131074).

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

29906856 is a wasteful number, since it uses less digits than its factorization.

29906856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 29906856 is about 5468.7161198951. The cubic root of 29906856 is about 310.4013393590.

The spelling of 29906856 in words is "twenty-nine million, nine hundred six thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 173 196 252 294 343 346 392 441 504 519 588 686 692 882 1029 1038 1176 1211 1372 1384 1557 1764 2058 2076 2401 2422 2744 3087 3114 3528 3633 4116 4152 4802 4844 6174 6228 7203 7266 8232 8477 9604 9688 10899 12348 12456 14406 14532 16954 19208 21609 21798 24696 25431 28812 29064 33908 43218 43596 50862 57624 59339 67816 76293 86436 87192 101724 118678 152586 172872 178017 203448 237356 305172 356034 415373 474712 534051 610344 712068 830746 1068102 1246119 1424136 1661492 2136204 2492238 3322984 3738357 4272408 4984476 7476714 9968952 14953428 29906856