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29927808 = 273283313
BaseRepresentation
bin111001000101…
…0100110000000
32002022111020100
41302022212000
530130142213
62545242400
7512245041
oct162124600
962274210
1029927808
1115991229
12a033400
13627b181
143d908c8
152962773
hex1c8a980

29927808 has 96 divisors (see below), whose sum is σ = 87436440. Its totient is φ = 9824256.

The previous prime is 29927801. The next prime is 29927813. The reversal of 29927808 is 80872992.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29927801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95460 + ... + 95772.

Almost surely, 229927808 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 29927808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43718220).

29927808 is an abundant number, since it is smaller than the sum of its proper divisors (57508632).

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

29927808 is a wasteful number, since it uses less digits than its factorization.

29927808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 29927808 is about 5470.6314077993. The cubic root of 29927808 is about 310.4738089260.

The spelling of 29927808 in words is "twenty-nine million, nine hundred twenty-seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 83 96 128 144 166 192 249 288 313 332 384 498 576 626 664 747 939 996 1152 1252 1328 1494 1878 1992 2504 2656 2817 2988 3756 3984 5008 5312 5634 5976 7512 7968 10016 10624 11268 11952 15024 15936 20032 22536 23904 25979 30048 31872 40064 45072 47808 51958 60096 77937 90144 95616 103916 120192 155874 180288 207832 233811 311748 360576 415664 467622 623496 831328 935244 1246992 1662656 1870488 2493984 3325312 3740976 4987968 7481952 9975936 14963904 29927808