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29936368 = 247112472
BaseRepresentation
bin111001000110…
…0101011110000
32002022220222101
41302030223300
530130430433
62545350144
7512312020
oct162145360
962286871
1029936368
1115997700
12a038354
136282037
143d93a80
15296507d
hex1c8caf0

29936368 has 90 divisors (see below), whose sum is σ = 74444888. Its totient is φ = 11415360.

The previous prime is 29936341. The next prime is 29936383. The reversal of 29936368 is 86363992.

It is a happy number.

It is a super-2 number, since 2×299363682 = 1792372258062848, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 636921 + ... + 636967.

Almost surely, 229936368 is an apocalyptic number.

29936368 is a gapful number since it is divisible by the number (28) 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 29936368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37222444).

29936368 is an abundant number, since it is smaller than the sum of its proper divisors (44508520).

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

29936368 is a wasteful number, since it uses less digits than its factorization.

29936368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 67 counting only the distinct ones).

The product of its digits is 419904, while the sum is 46.

The square root of 29936368 is about 5471.4137112816. The cubic root of 29936368 is about 310.5034068445.

The spelling of 29936368 in words is "twenty-nine million, nine hundred thirty-six thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 47 56 77 88 94 112 121 154 176 188 242 308 329 376 484 517 616 658 752 847 968 1034 1232 1316 1694 1936 2068 2209 2632 3388 3619 4136 4418 5264 5687 6776 7238 8272 8836 11374 13552 14476 15463 17672 22748 24299 28952 30926 35344 39809 45496 48598 57904 61852 79618 90992 97196 123704 159236 170093 194392 247408 267289 318472 340186 388784 534578 636944 680372 1069156 1360744 1871023 2138312 2721488 3742046 4276624 7484092 14968184 29936368