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45008832 = 26311101211
BaseRepresentation
bin1010101110110…
…0011111000000
310010200200111210
42223230133000
543010240312
64244410120
71054366041
oct253543700
9103620453
1045008832
1123451890
12130a6940
13942b65b
145d988c8
153e40e3c
hex2aec7c0

45008832 has 112 divisors (see below), whose sum is σ = 131819904. Its totient is φ = 13440000.

The previous prime is 45008827. The next prime is 45008833. The reversal of 45008832 is 23880054.

45008832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 45008832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45008833) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 213207 + ... + 213417.

Almost surely, 245008832 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 45008832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65909952).

45008832 is an abundant number, since it is smaller than the sum of its proper divisors (86811072).

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

45008832 is a wasteful number, since it uses less digits than its factorization.

45008832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 45008832 is about 6708.8621986146. The cubic root of 45008832 is about 355.7125989132.

Adding to 45008832 its reverse (23880054), we get a palindrome (68888886).

The spelling of 45008832 in words is "forty-five million, eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 101 132 176 192 202 211 264 303 352 404 422 528 606 633 704 808 844 1056 1111 1212 1266 1616 1688 2112 2222 2321 2424 2532 3232 3333 3376 4444 4642 4848 5064 6464 6666 6752 6963 8888 9284 9696 10128 13332 13504 13926 17776 18568 19392 20256 21311 26664 27852 35552 37136 40512 42622 53328 55704 63933 71104 74272 85244 106656 111408 127866 148544 170488 213312 222816 234421 255732 340976 445632 468842 511464 681952 703263 937684 1022928 1363904 1406526 1875368 2045856 2813052 3750736 4091712 5626104 7501472 11252208 15002944 22504416 45008832