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19813896 = 233430577
BaseRepresentation
bin100101110010…
…1011000001000
31101021122120000
41023211120020
520033021041
61544403000
7330262314
oct113453010
941248500
1019813896
1110203523
126776460
1341497cb
1428bab44
151b15bb6
hex12e5608

19813896 has 40 divisors (see below), whose sum is σ = 55499070. Its totient is φ = 6604416.

The previous prime is 19813883. The next prime is 19813897. The reversal of 19813896 is 69831891.

It can be written as a sum of positive squares in only one way, i.e., 17892900 + 1920996 = 4230^2 + 1386^2 .

It is a super-3 number, since 3×198138963 (a number of 23 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (19813897) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 14641 + ... + 15936.

Almost surely, 219813896 is an apocalyptic number.

It is an amenable number.

19813896 is an abundant number, since it is smaller than the sum of its proper divisors (35685174).

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

19813896 is a wasteful number, since it uses less digits than its factorization.

19813896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30595 (or 30582 counting only the distinct ones).

The product of its digits is 93312, while the sum is 45.

The square root of 19813896 is about 4451.2802652720. The cubic root of 19813896 is about 270.5971966416.

The spelling of 19813896 in words is "nineteen million, eight hundred thirteen thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 30577 61154 91731 122308 183462 244616 275193 366924 550386 733848 825579 1100772 1651158 2201544 2476737 3302316 4953474 6604632 9906948 19813896