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45928792 = 23713223211
BaseRepresentation
bin1010111100110…
…1000101011000
310012102102110101
42233031011120
543224210132
64320225144
71065250120
oct257150530
9105372411
1045928792
1123a1aa88
121346b1b4
139691300
146157c80
1540737e7
hex2bcd158

45928792 has 96 divisors (see below), whose sum is σ = 111732480. Its totient is φ = 17297280.

The previous prime is 45928759. The next prime is 45928807. The reversal of 45928792 is 29782954.

45928792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 217567 + ... + 217777.

It is an arithmetic number, because the mean of its divisors is an integer number (1163880).

Almost surely, 245928792 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 45928792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55866240).

45928792 is an abundant number, since it is smaller than the sum of its proper divisors (65803688).

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

45928792 is a wasteful number, since it uses less digits than its factorization.

45928792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 256 counting only the distinct ones).

The product of its digits is 362880, while the sum is 46.

The square root of 45928792 is about 6777.0784265788. The cubic root of 45928792 is about 358.1198063485.

The spelling of 45928792 in words is "forty-five million, nine hundred twenty-eight thousand, seven hundred ninety-two".

Divisors: 1 2 4 7 8 13 14 23 26 28 46 52 56 91 92 104 161 169 182 184 211 299 322 338 364 422 598 644 676 728 844 1183 1196 1288 1352 1477 1688 2093 2366 2392 2743 2954 3887 4186 4732 4853 5486 5908 7774 8372 9464 9706 10972 11816 15548 16744 19201 19412 21944 27209 31096 33971 35659 38402 38824 54418 63089 67942 71318 76804 108836 126178 135884 142636 153608 217672 249613 252356 271768 285272 441623 499226 504712 820157 883246 998452 1640314 1766492 1996904 3280628 3532984 5741099 6561256 11482198 22964396 45928792