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103856481 = 32432792
BaseRepresentation
bin1100011000010…
…11100101100001
321020102110022100
412030023211201
5203041401411
614150001013
72400523401
oct614134541
9236373270
10103856481
1153695a03
122a946169
1318693c51
14db16801
1591b7456
hex630b961

103856481 has 27 divisors (see below), whose sum is σ = 155553489. Its totient is φ = 66771432.

The previous prime is 103856437. The next prime is 103856497. The reversal of 103856481 is 184658301.

The square root of 103856481 is 10191.

It is a perfect power (a square), and thus also a powerful number.

103856481 is a `hidden beast` number, since 1 + 0 + 3 + 8 + 5 + 648 + 1 = 666.

It is not a de Polignac number, because 103856481 - 217 = 103725409 is a prime.

It is a super-2 number, since 2×1038564812 = 21572337291406722, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103856411) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1314600 + ... + 1314678.

Almost surely, 2103856481 is an apocalyptic number.

103856481 is the 10191-st square number.

103856481 is the 5096-th centered octagonal number.

It is an amenable number.

103856481 is a deficient number, since it is larger than the sum of its proper divisors (51697008).

103856481 is an frugal number, since it uses more digits than its factorization.

103856481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The cubic root of 103856481 is about 470.0505166767.

Multiplying 103856481 by its sum of digits (36), we get a square (3738833316 = 611462).

The spelling of 103856481 in words is "one hundred three million, eight hundred fifty-six thousand, four hundred eighty-one".

Divisors: 1 3 9 43 79 129 237 387 711 1849 3397 5547 6241 10191 16641 18723 30573 56169 146071 268363 438213 805089 1314639 2415267 11539609 34618827 103856481