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45795456 = 27347631
BaseRepresentation
bin1010111010110…
…0100010000000
310012011122120000
42232230202000
543210423311
64313320000
71064153310
oct256544200
9105148500
1045795456
1123939893
1213406000
139645705
146121440
154049056
hex2bac880

45795456 has 160 divisors (see below), whose sum is σ = 156002880. Its totient is φ = 13063680.

The previous prime is 45795389. The next prime is 45795469. The reversal of 45795456 is 65459754.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 72261 + ... + 72891.

It is an arithmetic number, because the mean of its divisors is an integer number (975018).

Almost surely, 245795456 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 45795456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78001440).

45795456 is an abundant number, since it is smaller than the sum of its proper divisors (110207424).

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

45795456 is an equidigital number, since it uses as much as digits as its factorization.

45795456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 643 counting only the distinct ones).

The product of its digits is 756000, while the sum is 45.

The square root of 45795456 is about 6767.2339992053. The cubic root of 45795456 is about 357.7729175883.

The spelling of 45795456 in words is "forty-five million, seven hundred ninety-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 128 144 162 168 189 192 216 224 252 288 324 336 378 384 432 448 504 567 576 631 648 672 756 864 896 1008 1134 1152 1262 1296 1344 1512 1728 1893 2016 2268 2524 2592 2688 3024 3456 3786 4032 4417 4536 5048 5184 5679 6048 7572 8064 8834 9072 10096 10368 11358 12096 13251 15144 17037 17668 18144 20192 22716 24192 26502 30288 34074 35336 36288 39753 40384 45432 51111 53004 60576 68148 70672 72576 79506 80768 90864 102222 106008 119259 121152 136296 141344 159012 181728 204444 212016 238518 242304 272592 282688 318024 357777 363456 408888 424032 477036 545184 565376 636048 715554 726912 817776 848064 954072 1090368 1272096 1431108 1635552 1696128 1908144 2180736 2544192 2862216 3271104 3816288 5088384 5724432 6542208 7632576 11448864 15265152 22897728 45795456