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45455472 = 2433432447
BaseRepresentation
bin1010110101100…
…1100001110000
310011112101012000
42231121201300
543114033342
64302134000
71061236146
oct255314160
9104471160
1045455472
1123727407
1213281300
139556a3a
146073596
153ecd44c
hex2b59870

45455472 has 80 divisors (see below), whose sum is σ = 133562880. Its totient is φ = 14793408.

The previous prime is 45455471. The next prime is 45455489. The reversal of 45455472 is 27455454.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45455471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17353 + ... + 19799.

It is an arithmetic number, because the mean of its divisors is an integer number (1669536).

Almost surely, 245455472 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 45455472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66781440).

45455472 is an abundant number, since it is smaller than the sum of its proper divisors (88107408).

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

45455472 is a wasteful number, since it uses less digits than its factorization.

45455472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2507 (or 2495 counting only the distinct ones).

The product of its digits is 112000, while the sum is 36.

The square root of 45455472 is about 6742.0673387322. The cubic root of 45455472 is about 356.8853526359.

The spelling of 45455472 in words is "forty-five million, four hundred fifty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 43 48 54 72 86 108 129 144 172 216 258 344 387 432 516 688 774 1032 1161 1548 2064 2322 2447 3096 4644 4894 6192 7341 9288 9788 14682 18576 19576 22023 29364 39152 44046 58728 66069 88092 105221 117456 132138 176184 210442 264276 315663 352368 420884 528552 631326 841768 946989 1057104 1262652 1683536 1893978 2525304 2840967 3787956 5050608 5681934 7575912 11363868 15151824 22727736 45455472