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45458442 = 23317232153
BaseRepresentation
bin1010110101101…
…0010000001010
310011112112021000
42231122100022
543114132232
64302155430
71061250621
oct255322012
9104475230
1045458442
1123729667
1213282b76
1395581b3
1460746b8
153ece27c
hex2b5a40a

45458442 has 64 divisors (see below), whose sum is σ = 111663360. Its totient is φ = 13635072.

The previous prime is 45458423. The next prime is 45458443. The reversal of 45458442 is 24485454.

It is a junction number, because it is equal to n+sod(n) for n = 45458397 and 45458406.

It is not an unprimeable number, because it can be changed into a prime (45458443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20038 + ... + 22190.

It is an arithmetic number, because the mean of its divisors is an integer number (1744740).

Almost surely, 245458442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45458442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55831680).

45458442 is an abundant number, since it is smaller than the sum of its proper divisors (66204918).

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

45458442 is a wasteful number, since it uses less digits than its factorization.

45458442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2204 (or 2198 counting only the distinct ones).

The product of its digits is 102400, while the sum is 36.

The square root of 45458442 is about 6742.2875939847. The cubic root of 45458442 is about 356.8931252711.

The spelling of 45458442 in words is "forty-five million, four hundred fifty-eight thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 17 18 23 27 34 46 51 54 69 102 138 153 207 306 391 414 459 621 782 918 1173 1242 2153 2346 3519 4306 6459 7038 10557 12918 19377 21114 36601 38754 49519 58131 73202 99038 109803 116262 148557 219606 297114 329409 445671 658818 841823 891342 988227 1337013 1683646 1976454 2525469 2674026 5050938 7576407 15152814 22729221 45458442