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29618368 = 261397367
BaseRepresentation
bin111000011111…
…1000011000000
32001201202202121
41300333003000
530040241433
62534454024
7506515633
oct160770300
961652677
1029618368
111579a79a
129b04314
1361a0380
143d0dc1a
152900c2d
hex1c3f0c0

29618368 has 56 divisors (see below), whose sum is σ = 64121792. Its totient is φ = 13492224.

The previous prime is 29618353. The next prime is 29618377. The reversal of 29618368 is 86381692.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80521 + ... + 80887.

It is an arithmetic number, because the mean of its divisors is an integer number (1145032).

Almost surely, 229618368 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 29618368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32060896).

29618368 is an abundant number, since it is smaller than the sum of its proper divisors (34503424).

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

29618368 is a wasteful number, since it uses less digits than its factorization.

29618368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 479 counting only the distinct ones).

The product of its digits is 124416, while the sum is 43.

The square root of 29618368 is about 5442.2759944714. The cubic root of 29618368 is about 309.4000467155.

The spelling of 29618368 in words is "twenty-nine million, six hundred eighteen thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 97 104 194 208 367 388 416 734 776 832 1261 1468 1552 2522 2936 3104 4771 5044 5872 6208 9542 10088 11744 19084 20176 23488 35599 38168 40352 71198 76336 80704 142396 152672 284792 305344 462787 569584 925574 1139168 1851148 2278336 3702296 7404592 14809184 29618368