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45096320 = 275312273
BaseRepresentation
bin1010110000000…
…1110110000000
310010212010112002
42230001312000
543021040240
64250323132
71055212103
oct254016600
9103763462
1045096320
1123501595
12131294a8
13945c419
145dbc73a
153e5bd15
hex2b01d80

45096320 has 64 divisors (see below), whose sum is σ = 111335040. Its totient is φ = 17448960.

The previous prime is 45096319. The next prime is 45096323. The reversal of 45096320 is 2369054.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45096323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18704 + ... + 20976.

It is an arithmetic number, because the mean of its divisors is an integer number (1739610).

Almost surely, 245096320 is an apocalyptic number.

45096320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45096320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55667520).

45096320 is an abundant number, since it is smaller than the sum of its proper divisors (66238720).

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

45096320 is a wasteful number, since it uses less digits than its factorization.

45096320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2323 (or 2311 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 45096320 is about 6715.3793638185. The cubic root of 45096320 is about 355.9429273487.

The spelling of 45096320 in words is "forty-five million, ninety-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 310 320 496 620 640 992 1240 1984 2273 2480 3968 4546 4960 9092 9920 11365 18184 19840 22730 36368 45460 70463 72736 90920 140926 145472 181840 281852 290944 352315 363680 563704 704630 727360 1127408 1409260 1454720 2254816 2818520 4509632 5637040 9019264 11274080 22548160 45096320