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29939904 = 263259881
BaseRepresentation
bin111001000110…
…1100011000000
32002100002211100
41302031203000
530131034104
62545414400
7512325231
oct162154300
962302740
1029939904
111599a325
12a03a400
136283827
143d95088
152966139
hex1c8d8c0

29939904 has 84 divisors (see below), whose sum is σ = 87370920. Its totient is φ = 9799680.

The previous prime is 29939891. The next prime is 29939909. The reversal of 29939904 is 40993992.

It is a self number, because there is not a number n which added to its sum of digits gives 29939904.

It is not an unprimeable number, because it can be changed into a prime (29939909) 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, 33544 + ... + 34424.

It is an arithmetic number, because the mean of its divisors is an integer number (1040130).

Almost surely, 229939904 is an apocalyptic number.

29939904 is a gapful number since it is divisible by the number (24) 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 29939904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43685460).

29939904 is an abundant number, since it is smaller than the sum of its proper divisors (57431016).

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

29939904 is a wasteful number, since it uses less digits than its factorization.

29939904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The square root of 29939904 is about 5471.7368357771. The cubic root of 29939904 is about 310.5156316276.

The spelling of 29939904 in words is "twenty-nine million, nine hundred thirty-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 64 72 96 118 144 177 192 236 288 354 472 531 576 708 881 944 1062 1416 1762 1888 2124 2643 2832 3524 3776 4248 5286 5664 7048 7929 8496 10572 11328 14096 15858 16992 21144 28192 31716 33984 42288 51979 56384 63432 84576 103958 126864 155937 169152 207916 253728 311874 415832 467811 507456 623748 831664 935622 1247496 1663328 1871244 2494992 3326656 3742488 4989984 7484976 9979968 14969952 29939904