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29121952 = 251724767
BaseRepresentation
bin110111100010…
…1110110100000
32000210112210211
41233011312200
524423400302
62520103504
7502350436
oct157056640
960715724
1029121952
1115490832
129904b94
136058432
143c20d56
152853ad7
hex1bc5da0

29121952 has 72 divisors (see below), whose sum is σ = 63129024. Its totient is φ = 13212672.

The previous prime is 29121947. The next prime is 29121959. The reversal of 29121952 is 25912192.

It is not an unprimeable number, because it can be changed into a prime (29121959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 434623 + ... + 434689.

It is an arithmetic number, because the mean of its divisors is an integer number (876792).

Almost surely, 229121952 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 29121952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31564512).

29121952 is an abundant number, since it is smaller than the sum of its proper divisors (34007072).

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

29121952 is a wasteful number, since it uses less digits than its factorization.

29121952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 133 counting only the distinct ones).

The product of its digits is 3240, while the sum is 31.

The square root of 29121952 is about 5396.4758870952. The cubic root of 29121952 is about 307.6617414252.

The spelling of 29121952 in words is "twenty-nine million, one hundred twenty-one thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 17 32 34 47 67 68 94 134 136 188 268 272 289 376 536 544 578 752 799 1072 1139 1156 1504 1598 2144 2278 2312 3149 3196 4556 4624 6298 6392 9112 9248 12596 12784 13583 18224 19363 25192 25568 27166 36448 38726 50384 53533 54332 77452 100768 107066 108664 154904 214132 217328 309808 428264 434656 619616 856528 910061 1713056 1820122 3640244 7280488 14560976 29121952