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45920440 = 2358912899
BaseRepresentation
bin1010111100101…
…1000010111000
310012102000000001
42233023002320
543223423230
64320122344
71065213556
oct257130270
9105360001
1045920440
1123a14785
12134663b4
13968a577
146154bd6
1540710ca
hex2bcb0b8

45920440 has 32 divisors (see below), whose sum is σ = 104490000. Its totient is φ = 18160384.

The previous prime is 45920353. The next prime is 45920447. The reversal of 45920440 is 4402954.

45920440 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 = 45920399 and 45920408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45920447) 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 7 ways as a sum of consecutive naturals, for example, 2890 + ... + 10009.

Almost surely, 245920440 is an apocalyptic number.

45920440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45920440 is an abundant number, since it is smaller than the sum of its proper divisors (58569560).

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

45920440 is a wasteful number, since it uses less digits than its factorization.

45920440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12999 (or 12995 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 45920440 is about 6776.4622038347. The cubic root of 45920440 is about 358.0980973956.

It can be divided in two parts, 45920 and 440, that added together give a triangular number (46360 = T304).

The spelling of 45920440 in words is "forty-five million, nine hundred twenty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 89 178 356 445 712 890 1780 3560 12899 25798 51596 64495 103192 128990 257980 515960 1148011 2296022 4592044 5740055 9184088 11480110 22960220 45920440