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29074464 = 25353739
BaseRepresentation
bin110111011101…
…0010000100000
32000201010200000
41232322100200
524420340324
62515100000
7502062126
oct156722040
960633600
1029074464
1115459091
1298a1600
13603c933
143c0b916
1528449c9
hex1bba420

29074464 has 72 divisors (see below), whose sum is σ = 85765680. Its totient is φ = 9688896.

The previous prime is 29074459. The next prime is 29074469. The reversal of 29074464 is 46447092.

It is an interprime number because it is at equal distance from previous prime (29074459) and next prime (29074469).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (29074469) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 5907 + ... + 9645.

It is an arithmetic number, because the mean of its divisors is an integer number (1191190).

Almost surely, 229074464 is an apocalyptic number.

29074464 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 29074464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42882840).

29074464 is an abundant number, since it is smaller than the sum of its proper divisors (56691216).

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

29074464 is an equidigital number, since it uses as much as digits as its factorization.

29074464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3764 (or 3744 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 29074464 is about 5392.0741834660. The cubic root of 29074464 is about 307.4944198868.

The spelling of 29074464 in words is "twenty-nine million, seventy-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3739 3888 7478 7776 11217 14956 22434 29912 33651 44868 59824 67302 89736 100953 119648 134604 179472 201906 269208 302859 358944 403812 538416 605718 807624 908577 1076832 1211436 1615248 1817154 2422872 3230496 3634308 4845744 7268616 9691488 14537232 29074464