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29953056 = 253729253
BaseRepresentation
bin111001001000…
…0110000100000
32002100202212110
41302100300200
530131444211
62545555320
7512411460
oct162206040
962322773
1029953056
11159a91a1
12a045b40
136289803
143d99ba0
152969ea6
hex1c90c20

29953056 has 144 divisors (see below), whose sum is σ = 94820544. Its totient is φ = 8107008.

The previous prime is 29953051. The next prime is 29953057. The reversal of 29953056 is 65035992.

It is not an unprimeable number, because it can be changed into a prime (29953051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 565126 + ... + 565178.

It is an arithmetic number, because the mean of its divisors is an integer number (658476).

Almost surely, 229953056 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 29953056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47410272).

29953056 is an abundant number, since it is smaller than the sum of its proper divisors (64867488).

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

29953056 is a wasteful number, since it uses less digits than its factorization.

29953056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 39.

The square root of 29953056 is about 5472.9385160076. The cubic root of 29953056 is about 310.5610927369.

The spelling of 29953056 in words is "twenty-nine million, nine hundred fifty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 53 56 58 84 87 96 106 112 116 159 168 174 203 212 224 232 318 336 348 371 406 424 464 609 636 672 696 742 812 841 848 928 1113 1218 1272 1392 1484 1537 1624 1682 1696 2226 2436 2523 2544 2784 2968 3074 3248 3364 4452 4611 4872 5046 5088 5887 5936 6148 6496 6728 8904 9222 9744 10092 10759 11774 11872 12296 13456 17661 17808 18444 19488 20184 21518 23548 24592 26912 32277 35322 35616 36888 40368 43036 44573 47096 49184 64554 70644 73776 80736 86072 89146 94192 129108 133719 141288 147552 172144 178292 188384 258216 267438 282576 312011 344288 356584 516432 534876 565152 624022 713168 936033 1032864 1069752 1248044 1426336 1872066 2139504 2496088 3744132 4279008 4992176 7488264 9984352 14976528 29953056