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29401568 = 2572171103
BaseRepresentation
bin111000000101…
…0000111100000
32001022202100222
41300022013200
530011322233
62530102212
7504623600
oct160120740
961282328
1029401568
1115661919
129a1a968
1361257a1
143c94c00
1528ab898
hex1c0a1e0

29401568 has 72 divisors (see below), whose sum is σ = 71360352. Its totient is φ = 11848704.

The previous prime is 29401513. The next prime is 29401577. The reversal of 29401568 is 86510492.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26105 + ... + 27207.

It is an arithmetic number, because the mean of its divisors is an integer number (991116).

Almost surely, 229401568 is an apocalyptic number.

29401568 is a gapful number since it is divisible by the number (28) 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 29401568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35680176).

29401568 is an abundant number, since it is smaller than the sum of its proper divisors (41958784).

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

29401568 is a wasteful number, since it uses less digits than its factorization.

29401568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 29401568 is about 5422.3212741408. The cubic root of 29401568 is about 308.6432836125.

The spelling of 29401568 in words is "twenty-nine million, four hundred one thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 68 98 112 119 136 196 224 238 272 392 476 544 784 833 952 1103 1568 1666 1904 2206 3332 3808 4412 6664 7721 8824 13328 15442 17648 18751 26656 30884 35296 37502 54047 61768 75004 108094 123536 131257 150008 216188 247072 262514 300016 432376 525028 600032 864752 918799 1050056 1729504 1837598 2100112 3675196 4200224 7350392 14700784 29401568