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14242592 = 257136773
BaseRepresentation
bin110110010101…
…001100100000
3222210121011102
4312111030200
512121230332
61225133532
7232026410
oct66251440
928717142
1014242592
118048741
12492a2a8
132c48990
141c6a640
1513b5062
hexd95320

14242592 has 96 divisors (see below), whose sum is σ = 35505792. Its totient is φ = 5474304.

The previous prime is 14242573. The next prime is 14242601. The reversal of 14242592 is 29524241.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195068 + ... + 195140.

It is an arithmetic number, because the mean of its divisors is an integer number (369852).

Almost surely, 214242592 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 14242592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17752896).

14242592 is an abundant number, since it is smaller than the sum of its proper divisors (21263200).

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

14242592 is a wasteful number, since it uses less digits than its factorization.

14242592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 162 counting only the distinct ones).

The product of its digits is 5760, while the sum is 29.

The square root of 14242592 is about 3773.9358765088. The cubic root of 14242592 is about 242.3983603530.

The spelling of 14242592 in words is "fourteen million, two hundred forty-two thousand, five hundred ninety-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 67 73 91 104 112 134 146 182 208 224 268 292 364 416 469 511 536 584 728 871 938 949 1022 1072 1168 1456 1742 1876 1898 2044 2144 2336 2912 3484 3752 3796 4088 4891 6097 6643 6968 7504 7592 8176 9782 12194 13286 13936 15008 15184 16352 19564 24388 26572 27872 30368 34237 39128 48776 53144 63583 68474 78256 97552 106288 127166 136948 156512 195104 212576 254332 273896 445081 508664 547792 890162 1017328 1095584 1780324 2034656 3560648 7121296 14242592