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45796680 = 23325235531
BaseRepresentation
bin1010111010110…
…0110101001000
310012011201020100
42232230311020
543210443210
64313325400
71064160006
oct256546510
9105151210
1045796680
112393a7a6
1213406860
139646137
146121a76
1540495c0
hex2bacd48

45796680 has 96 divisors (see below), whose sum is σ = 155338560. Its totient is φ = 11679360.

The previous prime is 45796679. The next prime is 45796693. The reversal of 45796680 is 8669754.

45796680 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 (45).

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, 5515 + ... + 11045.

It is an arithmetic number, because the mean of its divisors is an integer number (1618110).

Almost surely, 245796680 is an apocalyptic number.

45796680 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 45796680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77669280).

45796680 is an abundant number, since it is smaller than the sum of its proper divisors (109541880).

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

45796680 is a wasteful number, since it uses less digits than its factorization.

45796680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5571 (or 5564 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 45796680 is about 6767.3244343684. The cubic root of 45796680 is about 357.7761050236.

The spelling of 45796680 in words is "forty-five million, seven hundred ninety-six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 30 36 40 45 46 60 69 72 90 92 115 120 138 180 184 207 230 276 345 360 414 460 552 690 828 920 1035 1380 1656 2070 2760 4140 5531 8280 11062 16593 22124 27655 33186 44248 49779 55310 66372 82965 99558 110620 127213 132744 165930 199116 221240 248895 254426 331860 381639 398232 497790 508852 636065 663720 763278 995580 1017704 1144917 1272130 1526556 1908195 1991160 2289834 2544260 3053112 3816390 4579668 5088520 5724585 7632780 9159336 11449170 15265560 22898340 45796680