Search a number
-
+
29490272 = 257173761
BaseRepresentation
bin111000001111…
…1110001100000
32001111021001022
41300133301200
530022142042
62532025012
7505443320
oct160376140
961437038
1029490272
1115712529
129a62168
136156c86
143cb9280
1528c7cd2
hex1c1fc60

29490272 has 48 divisors (see below), whose sum is σ = 66824352. Its totient is φ = 12549120.

The previous prime is 29490271. The next prime is 29490317. The reversal of 29490272 is 27209492.

It is a happy number.

It is a super-2 number, since 2×294902722 = 1739352285267968, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29490271) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38372 + ... + 39132.

It is an arithmetic number, because the mean of its divisors is an integer number (1392174).

Almost surely, 229490272 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 29490272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33412176).

29490272 is an abundant number, since it is smaller than the sum of its proper divisors (37334080).

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

29490272 is a wasteful number, since it uses less digits than its factorization.

29490272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 29490272 is about 5430.4946367711. The cubic root of 29490272 is about 308.9533623926.

The spelling of 29490272 in words is "twenty-nine million, four hundred ninety thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 173 224 346 692 761 1211 1384 1522 2422 2768 3044 4844 5327 5536 6088 9688 10654 12176 19376 21308 24352 38752 42616 85232 131653 170464 263306 526612 921571 1053224 1843142 2106448 3686284 4212896 7372568 14745136 29490272