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14492088 = 2333132397
BaseRepresentation
bin110111010010…
…000110111000
31000021021102000
4313102012320
512202221323
61234341000
7234115662
oct67220670
930237360
1014492088
1181a9136
124a2a760
133005400
141cd3532
151413e43
hexdd21b8

14492088 has 96 divisors (see below), whose sum is σ = 43700400. Its totient is φ = 4447872.

The previous prime is 14492081. The next prime is 14492099. The reversal of 14492088 is 88029441.

14492088 is a `hidden beast` number, since 1 + 449 + 208 + 8 = 666.

14492088 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×144920882 = 420041229199488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14492081) 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, 36306 + ... + 36702.

Almost surely, 214492088 is an apocalyptic number.

14492088 is a gapful number since it is divisible by the number (18) 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 14492088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21850200).

14492088 is an abundant number, since it is smaller than the sum of its proper divisors (29208312).

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

14492088 is a wasteful number, since it uses less digits than its factorization.

14492088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 14492088 is about 3806.8475146767. The cubic root of 14492088 is about 243.8055873223.

The spelling of 14492088 in words is "fourteen million, four hundred ninety-two thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 169 216 234 312 338 351 397 468 507 676 702 794 936 1014 1191 1352 1404 1521 1588 2028 2382 2808 3042 3176 3573 4056 4563 4764 5161 6084 7146 9126 9528 10322 10719 12168 14292 15483 18252 20644 21438 28584 30966 36504 41288 42876 46449 61932 67093 85752 92898 123864 134186 139347 185796 201279 268372 278694 371592 402558 536744 557388 603837 805116 1114776 1207674 1610232 1811511 2415348 3623022 4830696 7246044 14492088