Search a number
-
+
29276928 = 283297131
BaseRepresentation
bin110111110101…
…1101100000000
32001002102101200
41233223230000
524443330203
62523301200
7503564322
oct157535400
961072350
1029276928
111558720a
12997a800
1360b0b35
143c61612
1528849a3
hex1bebb00

29276928 has 108 divisors (see below), whose sum is σ = 85933848. Its totient is φ = 9584640.

The previous prime is 29276917. The next prime is 29276939. The reversal of 29276928 is 82967292.

It is an interprime number because it is at equal distance from previous prime (29276917) and next prime (29276939).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 223423 + ... + 223553.

Almost surely, 229276928 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 29276928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42966924).

29276928 is an abundant number, since it is smaller than the sum of its proper divisors (56656920).

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

29276928 is a wasteful number, since it uses less digits than its factorization.

29276928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 233 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 29276928 is about 5410.8158349735. The cubic root of 29276928 is about 308.2065292720.

The spelling of 29276928 in words is "twenty-nine million, two hundred seventy-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 97 128 131 144 192 194 256 262 288 291 384 388 393 524 576 582 768 776 786 873 1048 1152 1164 1179 1552 1572 1746 2096 2304 2328 2358 3104 3144 3492 4192 4656 4716 6208 6288 6984 8384 9312 9432 12416 12576 12707 13968 16768 18624 18864 24832 25152 25414 27936 33536 37248 37728 38121 50304 50828 55872 74496 75456 76242 100608 101656 111744 114363 150912 152484 203312 223488 228726 301824 304968 406624 457452 609936 813248 914904 1219872 1626496 1829808 2439744 3252992 3659616 4879488 7319232 9758976 14638464 29276928