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29899872 = 25321731197
BaseRepresentation
bin111001000001…
…1110001100000
32002021001220200
41302003301200
530123243442
62544505200
7512100432
oct162036140
962231820
1029899872
1115972242
12a01b200
13626b542
143d84652
15295934c
hex1c83c60

29899872 has 144 divisors (see below), whose sum is σ = 93405312. Its totient is φ = 9031680.

The previous prime is 29899871. The next prime is 29899879. The reversal of 29899872 is 27899892.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29899871) 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, 151678 + ... + 151874.

It is an arithmetic number, because the mean of its divisors is an integer number (648648).

Almost surely, 229899872 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 29899872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46702656).

29899872 is an abundant number, since it is smaller than the sum of its proper divisors (63505440).

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

29899872 is a wasteful number, since it uses less digits than its factorization.

29899872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 250 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 54.

The square root of 29899872 is about 5468.0775415131. The cubic root of 29899872 is about 310.3771753153.

The spelling of 29899872 in words is "twenty-nine million, eight hundred ninety-nine thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 31 32 34 36 48 51 62 68 72 93 96 102 124 136 144 153 186 197 204 248 272 279 288 306 372 394 408 496 527 544 558 591 612 744 788 816 992 1054 1116 1182 1224 1488 1576 1581 1632 1773 2108 2232 2364 2448 2976 3152 3162 3349 3546 4216 4464 4728 4743 4896 6107 6304 6324 6698 7092 8432 8928 9456 9486 10047 12214 12648 13396 14184 16864 18321 18912 18972 20094 24428 25296 26792 28368 30141 36642 37944 40188 48856 50592 53584 54963 56736 60282 73284 75888 80376 97712 103819 107168 109926 120564 146568 151776 160752 195424 207638 219852 241128 293136 311457 321504 415276 439704 482256 586272 622914 830552 879408 934371 964512 1245828 1661104 1758816 1868742 2491656 3322208 3737484 4983312 7474968 9966624 14949936 29899872