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29696016 = 2437312851
BaseRepresentation
bin111000101001…
…0000000010000
32001212201021110
41301102000100
530100233031
62540253320
7510261210
oct161220020
961781243
1029696016
1115843069
129b41240
1361c980c
143d30240
152918c46
hex1c52010

29696016 has 80 divisors (see below), whose sum is σ = 90533888. Its totient is φ = 8208000.

The previous prime is 29695987. The next prime is 29696027. The reversal of 29696016 is 61069692.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8991 + ... + 11841.

Almost surely, 229696016 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 29696016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45266944).

29696016 is an abundant number, since it is smaller than the sum of its proper divisors (60837872).

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

29696016 is a wasteful number, since it uses less digits than its factorization.

29696016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2900 (or 2894 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 29696016 is about 5449.4051051468. The cubic root of 29696016 is about 309.6701868663.

The spelling of 29696016 in words is "twenty-nine million, six hundred ninety-six thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 112 124 168 186 217 248 336 372 434 496 651 744 868 1302 1488 1736 2604 2851 3472 5208 5702 8553 10416 11404 17106 19957 22808 34212 39914 45616 59871 68424 79828 88381 119742 136848 159656 176762 239484 265143 319312 353524 478968 530286 618667 707048 957936 1060572 1237334 1414096 1856001 2121144 2474668 3712002 4242288 4949336 7424004 9898672 14848008 29696016