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29729056 = 2571737211
BaseRepresentation
bin111000101101…
…0000100100000
32001221101121011
41301122010200
530102312211
62541110304
7510456430
oct161320440
961841534
1029729056
1115865975
129b58394
13620b876
143d3c2c0
152923921
hex1c5a120

29729056 has 96 divisors (see below), whose sum is σ = 73084032. Its totient is φ = 11612160.

The previous prime is 29729033. The next prime is 29729071. The reversal of 29729056 is 65092792.

It is a happy number.

It is a super-2 number, since 2×297290562 = 1767633541302272, which contains 22 as substring.

It is a congruent number.

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, 140791 + ... + 141001.

It is an arithmetic number, because the mean of its divisors is an integer number (761292).

Almost surely, 229729056 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 29729056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36542016).

29729056 is an abundant number, since it is smaller than the sum of its proper divisors (43354976).

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

29729056 is a wasteful number, since it uses less digits than its factorization.

29729056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 40.

The square root of 29729056 is about 5452.4357859584. The cubic root of 29729056 is about 309.7849913883.

The spelling of 29729056 in words is "twenty-nine million, seven hundred twenty-nine thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 37 56 68 74 112 119 136 148 211 224 238 259 272 296 422 476 518 544 592 629 844 952 1036 1184 1258 1477 1688 1904 2072 2516 2954 3376 3587 3808 4144 4403 5032 5908 6752 7174 7807 8288 8806 10064 11816 14348 15614 17612 20128 23632 25109 28696 31228 35224 47264 50218 54649 57392 62456 70448 100436 109298 114784 124912 132719 140896 200872 218596 249824 265438 401744 437192 530876 803488 874384 929033 1061752 1748768 1858066 2123504 3716132 4247008 7432264 14864528 29729056