Search a number
-
+
45574368 = 253767819
BaseRepresentation
bin1010110111011…
…0100011100000
310011202102021120
42231312203200
543131334433
64304452240
71062242610
oct255664340
9104672246
1045574368
11237a8774
121331a080
139598ba8
1460a4a40
1540037b3
hex2b768e0

45574368 has 48 divisors (see below), whose sum is σ = 136725120. Its totient is φ = 13021056.

The previous prime is 45574363. The next prime is 45574393. The reversal of 45574368 is 86347554.

45574368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45574363) 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, 33238 + ... + 34581.

It is an arithmetic number, because the mean of its divisors is an integer number (2848440).

Almost surely, 245574368 is an apocalyptic number.

45574368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

45574368 is an abundant number, since it is smaller than the sum of its proper divisors (91150752).

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

45574368 is a wasteful number, since it uses less digits than its factorization.

45574368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67839 (or 67831 counting only the distinct ones).

The product of its digits is 403200, while the sum is 42.

The square root of 45574368 is about 6750.8790538714. The cubic root of 45574368 is about 357.1962451541.

The spelling of 45574368 in words is "forty-five million, five hundred seventy-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 67819 135638 203457 271276 406914 474733 542552 813828 949466 1085104 1424199 1627656 1898932 2170208 2848398 3255312 3797864 5696796 6510624 7595728 11393592 15191456 22787184 45574368