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45097152 = 2631931217
BaseRepresentation
bin1010110000001…
…0000011000000
310010212011122220
42230002003000
543021102102
64250331040
71055214402
oct254020300
9103764586
1045097152
1123502181
1213129a80
13945c909
145dbcb72
153e5c1bc
hex2b020c0

45097152 has 56 divisors (see below), whose sum is σ = 120036336. Its totient is φ = 14942208.

The previous prime is 45097139. The next prime is 45097163. The reversal of 45097152 is 25179054.

It is a super-2 number, since 2×450971522 = 4067506237022208, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36448 + ... + 37664.

It is an arithmetic number, because the mean of its divisors is an integer number (2143506).

Almost surely, 245097152 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 45097152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60018168).

45097152 is an abundant number, since it is smaller than the sum of its proper divisors (74939184).

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

45097152 is a wasteful number, since it uses less digits than its factorization.

45097152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1425 (or 1415 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 45097152 is about 6715.4413108894. The cubic root of 45097152 is about 355.9451163130.

The spelling of 45097152 in words is "forty-five million, ninety-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 193 386 579 772 1158 1217 1544 2316 2434 3088 3651 4632 4868 6176 7302 9264 9736 12352 14604 18528 19472 29208 37056 38944 58416 77888 116832 233664 234881 469762 704643 939524 1409286 1879048 2818572 3758096 5637144 7516192 11274288 15032384 22548576 45097152