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45327840 = 253594433
BaseRepresentation
bin1010110011101…
…0010111100000
310011021220002220
42230322113200
543100442330
64255311040
71060165065
oct254722740
9104256086
1045327840
112364a528
121321b480
13951090c
14603cc6c
153ea5710
hex2b3a5e0

45327840 has 48 divisors (see below), whose sum is σ = 142784208. Its totient is φ = 12087296.

The previous prime is 45327833. The next prime is 45327847. The reversal of 45327840 is 4872354.

45327840 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 (45327833) and next prime (45327847).

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

It is a super-2 number, since 2×453278402 = 4109226158131200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45327847) 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, 46737 + ... + 47696.

It is an arithmetic number, because the mean of its divisors is an integer number (2974671).

Almost surely, 245327840 is an apocalyptic number.

45327840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45327840 is an abundant number, since it is smaller than the sum of its proper divisors (97456368).

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

45327840 is a wasteful number, since it uses less digits than its factorization.

45327840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94451 (or 94443 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 45327840 is about 6732.5953390947. The cubic root of 45327840 is about 356.5510130546.

The spelling of 45327840 in words is "forty-five million, three hundred twenty-seven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 94433 188866 283299 377732 472165 566598 755464 944330 1133196 1416495 1510928 1888660 2266392 2832990 3021856 3777320 4532784 5665980 7554640 9065568 11331960 15109280 22663920 45327840