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13293852 = 223111361127
BaseRepresentation
bin110010101101…
…100100011100
3221000101201220
4302231210130
511400400402
61152533340
7220665405
oct62554434
927011656
1013293852
11755a960
124551250
1329a5bb0
141aa09ac
151278dbc
hexcad91c

13293852 has 96 divisors (see below), whose sum is σ = 37330944. Its totient is φ = 3628800.

The previous prime is 13293851. The next prime is 13293853. The reversal of 13293852 is 25839231.

13293852 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 an interprime number because it is at equal distance from previous prime (13293851) and next prime (13293853).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13293851) 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, 104613 + ... + 104739.

It is an arithmetic number, because the mean of its divisors is an integer number (388864).

Almost surely, 213293852 is an apocalyptic number.

13293852 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 13293852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18665472).

13293852 is an abundant number, since it is smaller than the sum of its proper divisors (24037092).

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

13293852 is a wasteful number, since it uses less digits than its factorization.

13293852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 217 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 13293852 is about 3646.0735044703. The cubic root of 13293852 is about 236.8919374183.

The spelling of 13293852 in words is "thirteen million, two hundred ninety-three thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 61 66 78 122 127 132 143 156 183 244 254 286 366 381 429 508 572 671 732 762 793 858 1342 1397 1524 1586 1651 1716 2013 2379 2684 2794 3172 3302 4026 4191 4758 4953 5588 6604 7747 8052 8382 8723 9516 9906 15494 16764 17446 18161 19812 23241 26169 30988 34892 36322 46482 52338 54483 72644 85217 92964 100711 104676 108966 170434 201422 217932 255651 302133 340868 402844 511302 604266 1022604 1107821 1208532 2215642 3323463 4431284 6646926 13293852