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13845492 = 2234151283
BaseRepresentation
bin110100110100…
…001111110100
3222001102110000
4310310033310
512021023432
61212431300
7225453603
oct64641764
928042400
1013845492
1178a7361
124778530
132b39ccb
141ba5a3a
15133757c
hexd343f4

13845492 has 60 divisors (see below), whose sum is σ = 36563296. Its totient is φ = 4568400.

The previous prime is 13845487. The next prime is 13845493. The reversal of 13845492 is 29454831.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 (13845493) 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 19 ways as a sum of consecutive naturals, for example, 48783 + ... + 49065.

Almost surely, 213845492 is an apocalyptic number.

13845492 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 13845492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18281648).

13845492 is an abundant number, since it is smaller than the sum of its proper divisors (22717804).

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

13845492 is a wasteful number, since it uses less digits than its factorization.

13845492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 439 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 13845492 is about 3720.9531037088. The cubic root of 13845492 is about 240.1243106009.

The spelling of 13845492 in words is "thirteen million, eight hundred forty-five thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 151 162 283 302 324 453 566 604 849 906 1132 1359 1698 1812 2547 2718 3396 4077 5094 5436 7641 8154 10188 12231 15282 16308 22923 24462 30564 42733 45846 48924 85466 91692 128199 170932 256398 384597 512796 769194 1153791 1538388 2307582 3461373 4615164 6922746 13845492