Search a number
-
+
29276192 = 251127561
BaseRepresentation
bin110111110101…
…1100000100000
32001002101101102
41233223200200
524443314232
62523253532
7503562221
oct157534040
961071342
1029276192
1115586700
12997a2a8
1360b06ba
143c61248
152884662
hex1beb820

29276192 has 36 divisors (see below), whose sum is σ = 63361998. Its totient is φ = 13305600.

The previous prime is 29276189. The next prime is 29276197. The reversal of 29276192 is 29167292.

It can be written as a sum of positive squares in only one way, i.e., 27415696 + 1860496 = 5236^2 + 1364^2 .

It is not an unprimeable number, because it can be changed into a prime (29276197) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 92 + ... + 7652.

Almost surely, 229276192 is an apocalyptic number.

29276192 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29276192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31680999).

29276192 is an abundant number, since it is smaller than the sum of its proper divisors (34085806).

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

29276192 is a wasteful number, since it uses less digits than its factorization.

29276192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7593 (or 7574 counting only the distinct ones).

The product of its digits is 27216, while the sum is 38.

The square root of 29276192 is about 5410.7478226212. The cubic root of 29276192 is about 308.2039465567.

Subtracting from 29276192 its reverse (29167292), we obtain a square (108900 = 3302).

It can be divided in two parts, 2927 and 6192, that added together give a palindrome (9119).

The spelling of 29276192 in words is "twenty-nine million, two hundred seventy-six thousand, one hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1936 3872 7561 15122 30244 60488 83171 120976 166342 241952 332684 665368 914881 1330736 1829762 2661472 3659524 7319048 14638096 29276192