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10438428 = 22371121379
BaseRepresentation
bin100111110100…
…011100011100
3201122022211110
4213310130130
510133012203
61011422020
7154503510
oct47643434
921568743
1010438428
11598a600
1235b4910
1322162b0
14155a140
15db2d03
hex9f471c

10438428 has 144 divisors (see below), whose sum is σ = 33367040. Its totient is φ = 2471040.

The previous prime is 10438427. The next prime is 10438447. The reversal of 10438428 is 82483401.

It is a super-2 number, since 2×104384282 = 217921558222368, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10438395 and 10438404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10438427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132093 + ... + 132171.

Almost surely, 210438428 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 10438428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16683520).

10438428 is an abundant number, since it is smaller than the sum of its proper divisors (22928612).

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

10438428 is a wasteful number, since it uses less digits than its factorization.

10438428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 10438428 is about 3230.8556142298. The cubic root of 10438428 is about 218.5470926079.

The spelling of 10438428 in words is "ten million, four hundred thirty-eight thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 52 66 77 78 79 84 91 121 132 143 154 156 158 182 231 237 242 273 286 308 316 363 364 429 462 474 484 546 553 572 726 847 858 869 924 948 1001 1027 1092 1106 1452 1573 1659 1694 1716 1738 2002 2054 2212 2541 2607 3003 3081 3146 3318 3388 3476 4004 4108 4719 5082 5214 6006 6083 6162 6292 6636 7189 9438 9559 10164 10428 11011 11297 12012 12166 12324 14378 18249 18876 19118 21567 22022 22594 24332 28677 28756 33033 33891 36498 38236 43134 44044 45188 57354 66066 66913 67782 72996 79079 86268 114708 124267 132132 133826 135564 158158 200739 237237 248534 267652 316316 372801 401478 474474 497068 745602 802956 869869 948948 1491204 1739738 2609607 3479476 5219214 10438428