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45276426 = 232131811069
BaseRepresentation
bin1010110010110…
…1110100001010
310011012021120200
42230231310022
543042321201
64254233030
71056562146
oct254556412
9104167520
1045276426
1123614938
12131b5776
1394c33b0
146028226
153e95386
hex2b2dd0a

45276426 has 48 divisors (see below), whose sum is σ = 106328040. Its totient is φ = 13841280.

The previous prime is 45276409. The next prime is 45276433. The reversal of 45276426 is 62467254.

45276426 is a `hidden beast` number, since 4 + 5 + 2 + 7 + 642 + 6 = 666.

45276426 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 15563025 + 29713401 = 3945^2 + 5451^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 41820 + ... + 42888.

Almost surely, 245276426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45276426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53164020).

45276426 is an abundant number, since it is smaller than the sum of its proper divisors (61051614).

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

45276426 is a wasteful number, since it uses less digits than its factorization.

45276426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271 (or 1268 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 45276426 is about 6728.7759659540. The cubic root of 45276426 is about 356.4161537041.

The spelling of 45276426 in words is "forty-five million, two hundred seventy-six thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 181 234 362 543 1069 1086 1629 2138 2353 3207 3258 4706 6414 7059 9621 13897 14118 19242 21177 27794 41691 42354 83382 125073 193489 250146 386978 580467 1160934 1741401 2515357 3482802 5030714 7546071 15092142 22638213 45276426