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45686142 = 23223211523
BaseRepresentation
bin1010111001000…
…1110101111110
310011222002121100
42232101311332
543143424032
64311113530
71063216515
oct256216576
9104862540
1045686142
1123874747
12133728a6
139607a28
1460d367c
15402697c
hex2b91d7e

45686142 has 48 divisors (see below), whose sum is σ = 103978368. Its totient is φ = 14469840.

The previous prime is 45686141. The next prime is 45686171. The reversal of 45686142 is 24168654.

It is a junction number, because it is equal to n+sod(n) for n = 45686097 and 45686106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45686141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87093 + ... + 87615.

It is an arithmetic number, because the mean of its divisors is an integer number (2166216).

Almost surely, 245686142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45686142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51989184).

45686142 is an abundant number, since it is smaller than the sum of its proper divisors (58292226).

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

45686142 is a wasteful number, since it uses less digits than its factorization.

45686142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 762 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 45686142 is about 6759.1524616626. The cubic root of 45686142 is about 357.4880221589.

The spelling of 45686142 in words is "forty-five million, six hundred eighty-six thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 211 414 422 523 633 1046 1266 1569 1899 3138 3798 4707 4853 9414 9706 12029 14559 24058 29118 36087 43677 72174 87354 108261 110353 216522 220706 331059 662118 993177 1986354 2538119 5076238 7614357 15228714 22843071 45686142