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45561680 = 2453831487
BaseRepresentation
bin1010110111001…
…1011101010000
310011201202212122
42231303131100
543130433210
64304313412
71062160613
oct255633520
9104652778
1045561680
112379a18a
1213312868
139593198
1460a017a
153eeeb55
hex2b73750

45561680 has 40 divisors (see below), whose sum is σ = 106278912. Its totient is φ = 18164864.

The previous prime is 45561671. The next prime is 45561727. The reversal of 45561680 is 8616554.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 45561680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29897 + ... + 31383.

Almost surely, 245561680 is an apocalyptic number.

45561680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45561680 is an abundant number, since it is smaller than the sum of its proper divisors (60717232).

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

45561680 is a wasteful number, since it uses less digits than its factorization.

45561680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1883 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The square root of 45561680 is about 6749.9392589860. The cubic root of 45561680 is about 357.1630940152.

The spelling of 45561680 in words is "forty-five million, five hundred sixty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 383 766 1487 1532 1915 2974 3064 3830 5948 6128 7435 7660 11896 14870 15320 23792 29740 30640 59480 118960 569521 1139042 2278084 2847605 4556168 5695210 9112336 11390420 22780840 45561680