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29949472 = 2571931227
BaseRepresentation
bin111001000111…
…1111000100000
32002100120221201
41302033320200
530131340342
62545530544
7512365150
oct162177040
962316851
1029949472
11159a6533
12a043a54
136287ca7
143d98760
152968db7
hex1c8fe20

29949472 has 96 divisors (see below), whose sum is σ = 73543680. Its totient is φ = 11715840.

The previous prime is 29949467. The next prime is 29949497. The reversal of 29949472 is 27494992.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131823 + ... + 132049.

It is an arithmetic number, because the mean of its divisors is an integer number (766080).

Almost surely, 229949472 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 29949472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36771840).

29949472 is an abundant number, since it is smaller than the sum of its proper divisors (43594208).

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

29949472 is a wasteful number, since it uses less digits than its factorization.

29949472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 286 counting only the distinct ones).

The product of its digits is 326592, while the sum is 46.

The square root of 29949472 is about 5472.6110769906. The cubic root of 29949472 is about 310.5487056274.

The spelling of 29949472 in words is "twenty-nine million, nine hundred forty-nine thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 19 28 31 32 38 56 62 76 112 124 133 152 217 224 227 248 266 304 434 454 496 532 589 608 868 908 992 1064 1178 1589 1736 1816 2128 2356 3178 3472 3632 4123 4256 4313 4712 6356 6944 7037 7264 8246 8626 9424 12712 14074 16492 17252 18848 25424 28148 30191 32984 34504 49259 50848 56296 60382 65968 69008 98518 112592 120764 131936 133703 138016 197036 225184 241528 267406 394072 483056 534812 788144 935921 966112 1069624 1576288 1871842 2139248 3743684 4278496 7487368 14974736 29949472