Search a number
-
+
29818368 = 2934719
BaseRepresentation
bin111000110111…
…1111000000000
32002002221010000
41301233320000
530113141433
62543040000
7511311006
oct161577000
962087100
1029818368
1115916a88
129ba0000
136240408
143d62a76
152940113
hex1c6fe00

29818368 has 100 divisors (see below), whose sum is σ = 89123760. Its totient is φ = 9925632.

The previous prime is 29818363. The next prime is 29818379. The reversal of 29818368 is 86381892.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29818361) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 41113 + ... + 41831.

Almost surely, 229818368 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 29818368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44561880).

29818368 is an abundant number, since it is smaller than the sum of its proper divisors (59305392).

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

29818368 is an frugal number, since it uses more digits than its factorization.

29818368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 724 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 29818368 is about 5460.6197450473. The cubic root of 29818368 is about 310.0948998390.

The spelling of 29818368 in words is "twenty-nine million, eight hundred eighteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 719 768 864 1152 1296 1438 1536 1728 2157 2304 2592 2876 3456 4314 4608 5184 5752 6471 6912 8628 10368 11504 12942 13824 17256 19413 20736 23008 25884 34512 38826 41472 46016 51768 58239 69024 77652 92032 103536 116478 138048 155304 184064 207072 232956 276096 310608 368128 414144 465912 552192 621216 828288 931824 1104384 1242432 1656576 1863648 2484864 3313152 3727296 4969728 7454592 9939456 14909184 29818368