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14492772 = 22327172199
BaseRepresentation
bin110111010010…
…010001100100
31000021022100100
4313102101210
512202232042
61234344100
7234120660
oct67222144
930238310
1014492772
1181a96a8
124a2b030
133005808
141cd38a0
15141424c
hexdd2464

14492772 has 108 divisors (see below), whose sum is σ = 44699200. Its totient is φ = 3877632.

The previous prime is 14492771. The next prime is 14492813. The reversal of 14492772 is 27729441.

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

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 (14492771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 72729 + ... + 72927.

Almost surely, 214492772 is an apocalyptic number.

14492772 is a gapful number since it is divisible by the number (12) 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 14492772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22349600).

14492772 is an abundant number, since it is smaller than the sum of its proper divisors (30206428).

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

14492772 is a wasteful number, since it uses less digits than its factorization.

14492772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 228 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 14492772 is about 3806.9373517304. The cubic root of 14492772 is about 243.8094229876.

The spelling of 14492772 in words is "fourteen million, four hundred ninety-two thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 199 204 238 252 289 306 357 398 476 578 597 612 714 796 867 1071 1156 1194 1393 1428 1734 1791 2023 2142 2388 2601 2786 3383 3468 3582 4046 4179 4284 5202 5572 6069 6766 7164 8092 8358 10149 10404 12138 12537 13532 16716 18207 20298 23681 24276 25074 30447 36414 40596 47362 50148 57511 60894 71043 72828 94724 115022 121788 142086 172533 213129 230044 284172 345066 402577 426258 517599 690132 805154 852516 1035198 1207731 1610308 2070396 2415462 3623193 4830924 7246386 14492772