Search a number
-
+
29297124 = 22322341863
BaseRepresentation
bin110111111000…
…0100111100100
32001010110002200
41233300213210
530000001444
62523534500
7504010233
oct157604744
961113080
1029297124
11155a03aa
12998a430
1360ba09c
143c68b1a
15288a969
hex1bf09e4

29297124 has 72 divisors (see below), whose sum is σ = 79252992. Its totient is φ = 9102720.

The previous prime is 29297123. The next prime is 29297143. The reversal of 29297124 is 42179292.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29297123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33517 + ... + 34379.

It is an arithmetic number, because the mean of its divisors is an integer number (1100736).

Almost surely, 229297124 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 29297124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39626496).

29297124 is an abundant number, since it is smaller than the sum of its proper divisors (49955868).

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

29297124 is a wasteful number, since it uses less digits than its factorization.

29297124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937 (or 932 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 29297124 is about 5412.6817752386. The cubic root of 29297124 is about 308.2773826567.

It can be divided in two parts, 292971 and 24, that added together give a triangular number (292995 = T765).

The spelling of 29297124 in words is "twenty-nine million, two hundred ninety-seven thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 23 36 41 46 69 82 92 123 138 164 207 246 276 369 414 492 738 828 863 943 1476 1726 1886 2589 2829 3452 3772 5178 5658 7767 8487 10356 11316 15534 16974 19849 31068 33948 35383 39698 59547 70766 79396 106149 119094 141532 178641 212298 238188 318447 357282 424596 636894 714564 813809 1273788 1627618 2441427 3255236 4882854 7324281 9765708 14648562 29297124