Search a number
-
+
29943516 = 2232325389
BaseRepresentation
bin111001000111…
…0011011011100
32002100021210010
41302032123130
530131143031
62545443220
7512341611
oct162163334
962307703
1029943516
11159a2009
12a040510
136285375
143d96508
152967246
hex1c8e6dc

29943516 has 72 divisors (see below), whose sum is σ = 75252240. Its totient is φ = 9261824.

The previous prime is 29943491. The next prime is 29943521. The reversal of 29943516 is 61534992.

It is a super-2 number, since 2×299435162 = 1793228300884512, 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 23 ways as a sum of consecutive naturals, for example, 336400 + ... + 336488.

It is an arithmetic number, because the mean of its divisors is an integer number (1045170).

Almost surely, 229943516 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 29943516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37626120).

29943516 is an abundant number, since it is smaller than the sum of its proper divisors (45308724).

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

29943516 is a wasteful number, since it uses less digits than its factorization.

29943516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 170 counting only the distinct ones).

The product of its digits is 58320, while the sum is 39.

The square root of 29943516 is about 5472.0668855561. The cubic root of 29943516 is about 310.5281181669.

The spelling of 29943516 in words is "twenty-nine million, nine hundred forty-three thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 12 23 46 53 69 89 92 106 138 159 178 212 267 276 318 356 529 534 636 1058 1068 1219 1587 2047 2116 2438 3174 3657 4094 4717 4876 6141 6348 7314 8188 9434 12282 14151 14628 18868 24564 28037 28302 47081 56074 56604 84111 94162 108491 112148 141243 168222 188324 216982 282486 325473 336444 433964 564972 650946 1301892 2495293 4990586 7485879 9981172 14971758 29943516