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45381376 = 28269659
BaseRepresentation
bin1010110100011…
…1011100000000
310011101121112201
42231013130000
543104201001
64300402544
71060510135
oct255073400
9104347481
1045381376
1123686777
1213246454
13952c0b1
14605458c
153eb6501
hex2b47700

45381376 has 36 divisors (see below), whose sum is σ = 91060200. Its totient is φ = 22572032.

The previous prime is 45381373. The next prime is 45381379. The reversal of 45381376 is 67318354.

It is an interprime number because it is at equal distance from previous prime (45381373) and next prime (45381379).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45381373) 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 3 ways as a sum of consecutive naturals, for example, 68535 + ... + 69193.

It is an arithmetic number, because the mean of its divisors is an integer number (2529450).

Almost surely, 245381376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45381376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45530100).

45381376 is an abundant number, since it is smaller than the sum of its proper divisors (45678824).

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

45381376 is an equidigital number, since it uses as much as digits as its factorization.

45381376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 930 counting only the distinct ones).

The product of its digits is 60480, while the sum is 37.

The square root of 45381376 is about 6736.5700471382. The cubic root of 45381376 is about 356.6913300945.

The spelling of 45381376 in words is "forty-five million, three hundred eighty-one thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 128 256 269 538 659 1076 1318 2152 2636 4304 5272 8608 10544 17216 21088 34432 42176 68864 84352 168704 177271 354542 709084 1418168 2836336 5672672 11345344 22690688 45381376