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29098872 = 23331137331
BaseRepresentation
bin110111100000…
…0001101111000
32000202101011000
41233000031320
524422130442
62515405000
7502223235
oct157001570
960671130
1029098872
1115475460
1298b3760
13604aa8a
143c1678c
15284bd4c
hex1bc0378

29098872 has 128 divisors (see below), whose sum is σ = 90835200. Its totient is φ = 8553600.

The previous prime is 29098847. The next prime is 29098873. The reversal of 29098872 is 27889092.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29098873) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87747 + ... + 88077.

It is an arithmetic number, because the mean of its divisors is an integer number (709650).

Almost surely, 229098872 is an apocalyptic number.

29098872 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 29098872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45417600).

29098872 is an abundant number, since it is smaller than the sum of its proper divisors (61736328).

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

29098872 is a wasteful number, since it uses less digits than its factorization.

29098872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 29098872 is about 5394.3370306276. The cubic root of 29098872 is about 307.5804429636.

It can be divided in two parts, 2909 and 8872, that added together give a triangular number (11781 = T153).

The spelling of 29098872 in words is "twenty-nine million, ninety-eight thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 37 44 54 66 72 74 88 99 108 111 132 148 198 216 222 264 296 297 331 333 396 407 444 594 662 666 792 814 888 993 999 1188 1221 1324 1332 1628 1986 1998 2376 2442 2648 2664 2979 3256 3641 3663 3972 3996 4884 5958 7282 7326 7944 7992 8937 9768 10923 10989 11916 12247 14564 14652 17874 21846 21978 23832 24494 29128 29304 32769 35748 36741 43692 43956 48988 65538 71496 73482 87384 87912 97976 98307 110223 131076 134717 146964 196614 220446 262152 269434 293928 330669 393228 404151 440892 538868 661338 786456 808302 881784 1077736 1212453 1322676 1616604 2424906 2645352 3233208 3637359 4849812 7274718 9699624 14549436 29098872