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45423760 = 2451813137
BaseRepresentation
bin1010110101000…
…1110010010000
310011110202200111
42231101302100
543112030020
64301331104
71061044534
oct255216220
9104422614
1045423760
11237055a8
1213266a94
139545485
146065bc4
153ec3d5a
hex2b51c90

45423760 has 40 divisors (see below), whose sum is σ = 106227576. Its totient is φ = 18063360.

The previous prime is 45423743. The next prime is 45423767. The reversal of 45423760 is 6732454.

It can be written as a sum of positive squares in 4 ways, for example, as 5531904 + 39891856 = 2352^2 + 6316^2 .

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

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (45423767) 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 7 ways as a sum of consecutive naturals, for example, 12912 + ... + 16048.

Almost surely, 245423760 is an apocalyptic number.

45423760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45423760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53113788).

45423760 is an abundant number, since it is smaller than the sum of its proper divisors (60803816).

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

45423760 is a wasteful number, since it uses less digits than its factorization.

45423760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3331 (or 3325 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 31.

The square root of 45423760 is about 6739.7151275110. The cubic root of 45423760 is about 356.8023396657.

The spelling of 45423760 in words is "forty-five million, four hundred twenty-three thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 181 362 724 905 1448 1810 2896 3137 3620 6274 7240 12548 14480 15685 25096 31370 50192 62740 125480 250960 567797 1135594 2271188 2838985 4542376 5677970 9084752 11355940 22711880 45423760