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12428052 = 22371319599
BaseRepresentation
bin101111011010…
…001100010100
3212101102002020
4233122030110
511140144202
61122213140
7210431250
oct57321424
925342066
1012428052
11701941a
1241b41b0
132761aa0
141917260
1511575bc
hexbda314

12428052 has 96 divisors (see below), whose sum is σ = 37632000. Its totient is φ = 3100032.

The previous prime is 12428051. The next prime is 12428077. The reversal of 12428052 is 25082421.

12428052 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (12428051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20449 + ... + 21047.

It is an arithmetic number, because the mean of its divisors is an integer number (392000).

Almost surely, 212428052 is an apocalyptic number.

12428052 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 12428052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18816000).

12428052 is an abundant number, since it is smaller than the sum of its proper divisors (25203948).

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

12428052 is a wasteful number, since it uses less digits than its factorization.

12428052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 12428052 is about 3525.3442385106. The cubic root of 12428052 is about 231.6333139248.

The spelling of 12428052 in words is "twelve million, four hundred twenty-eight thousand, fifty-two".

Divisors: 1 2 3 4 6 7 12 13 14 19 21 26 28 38 39 42 52 57 76 78 84 91 114 133 156 182 228 247 266 273 364 399 494 532 546 599 741 798 988 1092 1198 1482 1596 1729 1797 2396 2964 3458 3594 4193 5187 6916 7188 7787 8386 10374 11381 12579 15574 16772 20748 22762 23361 25158 31148 34143 45524 46722 50316 54509 68286 79667 93444 109018 136572 147953 159334 163527 218036 239001 295906 318668 327054 443859 478002 591812 654108 887718 956004 1035671 1775436 2071342 3107013 4142684 6214026 12428052