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232638642 = 2341724969
BaseRepresentation
bin11011101110111…
…00100010110010
3121012202021020000
431313130202302
5434023414032
635030130430
75523252525
oct1567344262
9535667200
10232638642
1110a355945
1265ab0a16
1339274302
1422c7abbc
1515654e7c
hexdddc8b2

232638642 has 60 divisors (see below), whose sum is σ = 553861770. Its totient is φ = 72969984.

The previous prime is 232638631. The next prime is 232638691. The reversal of 232638642 is 246836232.

232638642 is a `hidden beast` number, since 2 + 3 + 2 + 6 + 3 + 8 + 642 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 217592001 + 15046641 = 14751^2 + 3879^2 .

It is a junction number, because it is equal to n+sod(n) for n = 232638597 and 232638606.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 44334 + ... + 49302.

Almost surely, 2232638642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232638642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276930885).

232638642 is an abundant number, since it is smaller than the sum of its proper divisors (321223128).

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

232638642 is a wasteful number, since it uses less digits than its factorization.

232638642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5017 (or 4991 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 232638642 is about 15252.4962547119. The cubic root of 232638642 is about 615.0266734416.

The spelling of 232638642 in words is "two hundred thirty-two million, six hundred thirty-eight thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 289 306 459 578 867 918 1377 1734 2601 2754 4969 5202 7803 9938 14907 15606 23409 29814 44721 46818 84473 89442 134163 168946 253419 268326 402489 506838 760257 804978 1436041 1520514 2280771 2872082 4308123 4561542 6842313 8616246 12924369 13684626 25848738 38773107 77546214 116319321 232638642