Search a number
-
+
29142016 = 210149191
BaseRepresentation
bin110111100101…
…0110000000000
32000211120022221
41233022300000
524430021031
62520340424
7502463101
oct157126000
960746287
1029142016
11154a4912
129914714
1360645c7
143c283a8
152859a11
hex1bcac00

29142016 has 44 divisors (see below), whose sum is σ = 58953600. Its totient is φ = 14397440.

The previous prime is 29141999. The next prime is 29142017. The reversal of 29142016 is 61024192.

It is not an unprimeable number, because it can be changed into a prime (29142017) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 152481 + ... + 152671.

Almost surely, 229142016 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 29142016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29476800).

29142016 is an abundant number, since it is smaller than the sum of its proper divisors (29811584).

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

29142016 is a wasteful number, since it uses less digits than its factorization.

29142016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 29142016 is about 5398.3345579910. The cubic root of 29142016 is about 307.7323812422.

The spelling of 29142016 in words is "twenty-nine million, one hundred forty-two thousand, sixteen".

Divisors: 1 2 4 8 16 32 64 128 149 191 256 298 382 512 596 764 1024 1192 1528 2384 3056 4768 6112 9536 12224 19072 24448 28459 38144 48896 56918 76288 97792 113836 152576 195584 227672 455344 910688 1821376 3642752 7285504 14571008 29142016