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45313344 = 26348741
BaseRepresentation
bin1010110011011…
…0110101000000
310011021011020000
42230312311000
543100011334
64255120000
71060104606
oct254666500
9104234200
1045313344
112363a64a
1213213000
13950713b
146037876
153ea1299
hex2b36d40

45313344 has 70 divisors (see below), whose sum is σ = 134338314. Its totient is φ = 15102720.

The previous prime is 45313343. The next prime is 45313361. The reversal of 45313344 is 44331354.

45313344 is a `hidden beast` number, since 4 + 5 + 313 + 344 = 666.

It can be written as a sum of positive squares in only one way, i.e., 32353344 + 12960000 = 5688^2 + 3600^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45313343) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 814 + ... + 9554.

Almost surely, 245313344 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 45313344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67169157).

45313344 is an abundant number, since it is smaller than the sum of its proper divisors (89024970).

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

45313344 is an equidigital number, since it uses as much as digits as its factorization.

45313344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8765 (or 8746 counting only the distinct ones).

The product of its digits is 8640, while the sum is 27.

The square root of 45313344 is about 6731.5186993724. The cubic root of 45313344 is about 356.5130002531.

Adding to 45313344 its reverse (44331354), we get a palindrome (89644698).

It can be divided in two parts, 4531 and 3344, that added together give a triangular number (7875 = T125).

The spelling of 45313344 in words is "forty-five million, three hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 8741 17482 26223 34964 52446 69928 78669 104892 139856 157338 209784 236007 279712 314676 419568 472014 559424 629352 708021 839136 944028 1258704 1416042 1678272 1888056 2517408 2832084 3776112 5034816 5664168 7552224 11328336 15104448 22656672 45313344