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45776256 = 273237173
BaseRepresentation
bin1010111010011…
…1110110000000
310012010200012220
42232213312000
543204320011
64313051040
71064043321
oct256476600
9105120186
1045776256
1123926419
12133b6a80
139639a56
146118448
154043506
hex2ba7d80

45776256 has 128 divisors (see below), whose sum is σ = 130429440. Its totient is φ = 14192640.

The previous prime is 45776251. The next prime is 45776273. The reversal of 45776256 is 65267754.

45776256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×457762562 = 4190931226755072, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45776251) 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, 627036 + ... + 627108.

It is an arithmetic number, because the mean of its divisors is an integer number (1018980).

Almost surely, 245776256 is an apocalyptic number.

45776256 is a gapful number since it is divisible by the number (46) 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 45776256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65214720).

45776256 is an abundant number, since it is smaller than the sum of its proper divisors (84653184).

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

45776256 is a wasteful number, since it uses less digits than its factorization.

45776256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 172 counting only the distinct ones).

The product of its digits is 352800, while the sum is 42.

The square root of 45776256 is about 6765.8152502119. The cubic root of 45776256 is about 357.7229111697.

The spelling of 45776256 in words is "forty-five million, seven hundred seventy-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 71 73 92 96 128 138 142 146 184 192 213 219 276 284 292 368 384 426 438 552 568 584 736 852 876 1104 1136 1168 1472 1633 1679 1704 1752 2208 2272 2336 2944 3266 3358 3408 3504 4416 4544 4672 4899 5037 5183 6532 6716 6816 7008 8832 9088 9344 9798 10074 10366 13064 13432 13632 14016 15549 19596 20148 20732 26128 26864 27264 28032 31098 39192 40296 41464 52256 53728 62196 78384 80592 82928 104512 107456 119209 124392 156768 161184 165856 209024 214912 238418 248784 313536 322368 331712 357627 476836 497568 627072 644736 663424 715254 953672 995136 1430508 1907344 1990272 2861016 3814688 5722032 7629376 11444064 15258752 22888128 45776256