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29725056 = 27344761
BaseRepresentation
bin111000101100…
…1000110000000
32001221012010000
41301121012000
530102200211
62541040000
7510441654
oct161310600
961835100
1029725056
1115862969
129b56000
136209aba
143d3aa64
152922656
hex1c59180

29725056 has 160 divisors (see below), whose sum is σ = 91824480. Its totient is φ = 9538560.

The previous prime is 29725051. The next prime is 29725057. The reversal of 29725056 is 65052792.

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

It is a self number, because there is not a number n which added to its sum of digits gives 29725056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29725051) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 487266 + ... + 487326.

It is an arithmetic number, because the mean of its divisors is an integer number (573903).

Almost surely, 229725056 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 29725056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45912240).

29725056 is an abundant number, since it is smaller than the sum of its proper divisors (62099424).

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

29725056 is an equidigital number, since it uses as much as digits as its factorization.

29725056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 29725056 is about 5452.0689650811. The cubic root of 29725056 is about 309.7710970628.

The spelling of 29725056 in words is "twenty-nine million, seven hundred twenty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 61 64 72 81 94 96 108 122 128 141 144 162 183 188 192 216 244 282 288 324 366 376 384 423 432 488 549 564 576 648 732 752 846 864 976 1098 1128 1152 1269 1296 1464 1504 1647 1692 1728 1952 2196 2256 2538 2592 2867 2928 3008 3294 3384 3456 3807 3904 4392 4512 4941 5076 5184 5734 5856 6016 6588 6768 7614 7808 8601 8784 9024 9882 10152 10368 11468 11712 13176 13536 15228 17202 17568 18048 19764 20304 22936 23424 25803 26352 27072 30456 34404 35136 39528 40608 45872 51606 52704 54144 60912 68808 70272 77409 79056 81216 91744 103212 105408 121824 137616 154818 158112 162432 183488 206424 210816 232227 243648 275232 309636 316224 366976 412848 464454 487296 550464 619272 632448 825696 928908 1100928 1238544 1651392 1857816 2477088 3302784 3715632 4954176 7431264 9908352 14862528 29725056