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45459090 = 23351011667
BaseRepresentation
bin1010110101101…
…0011010010010
310011112120011000
42231122122102
543114142330
64302202430
71061252535
oct255323222
9104476130
1045459090
112372a0a6
1213283416
139558591
146074a1c
153ece560
hex2b5a692

45459090 has 64 divisors (see below), whose sum is σ = 122497920. Its totient is φ = 11995200.

The previous prime is 45459083. The next prime is 45459097. The reversal of 45459090 is 9095454.

45459090 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45459083) and next prime (45459097).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (45459097) 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, 26437 + ... + 28103.

It is an arithmetic number, because the mean of its divisors is an integer number (1914030).

Almost surely, 245459090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45459090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61248960).

45459090 is an abundant number, since it is smaller than the sum of its proper divisors (77038830).

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

45459090 is a wasteful number, since it uses less digits than its factorization.

45459090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1784 (or 1778 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 45459090 is about 6742.3356487200. The cubic root of 45459090 is about 356.8948210738.

The spelling of 45459090 in words is "forty-five million, four hundred fifty-nine thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 101 135 202 270 303 505 606 909 1010 1515 1667 1818 2727 3030 3334 4545 5001 5454 8335 9090 10002 13635 15003 16670 25005 27270 30006 45009 50010 75015 90018 150030 168367 225045 336734 450090 505101 841835 1010202 1515303 1683670 2525505 3030606 4545909 5051010 7576515 9091818 15153030 22729545 45459090