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45642534 = 23723371277
BaseRepresentation
bin1010111000011…
…1001100100110
310011212212210020
42232013030212
543141030114
64310140010
71062645420
oct256071446
9104785706
1045642534
1123844a03
1213351606
1395c0c22
1460c1810
154018aa9
hex2b87326

45642534 has 64 divisors (see below), whose sum is σ = 111891456. Its totient is φ = 12127104.

The previous prime is 45642533. The next prime is 45642581. The reversal of 45642534 is 43524654.

45642534 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 45642495 and 45642504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45642533) 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 31 ways as a sum of consecutive naturals, for example, 35104 + ... + 36380.

It is an arithmetic number, because the mean of its divisors is an integer number (1748304).

Almost surely, 245642534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45642534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55945728).

45642534 is an abundant number, since it is smaller than the sum of its proper divisors (66248922).

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

45642534 is a wasteful number, since it uses less digits than its factorization.

45642534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349.

The product of its digits is 57600, while the sum is 33.

The square root of 45642534 is about 6755.9258432875. The cubic root of 45642534 is about 357.3742436716.

The spelling of 45642534 in words is "forty-five million, six hundred forty-two thousand, five hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 23 37 42 46 69 74 111 138 161 222 259 322 483 518 777 851 966 1277 1554 1702 2553 2554 3831 5106 5957 7662 8939 11914 17871 17878 26817 29371 35742 47249 53634 58742 88113 94498 141747 176226 205597 283494 330743 411194 616791 661486 992229 1086727 1233582 1984458 2173454 3260181 6520362 7607089 15214178 22821267 45642534