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45277056 = 273411397
BaseRepresentation
bin1010110010110…
…1111110000000
310011012022110000
42230231332000
543042331211
64254240000
71056564036
oct254557600
9104168400
1045277056
1123615360
12131b6000
1394c3776
146028556
153e95656
hex2b2df80

45277056 has 160 divisors (see below), whose sum is σ = 147363480. Its totient is φ = 13685760.

The previous prime is 45277021. The next prime is 45277093. The reversal of 45277056 is 65077254.

45277056 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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 45277056.

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 19 ways as a sum of consecutive naturals, for example, 113850 + ... + 114246.

Almost surely, 245277056 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 45277056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73681740).

45277056 is an abundant number, since it is smaller than the sum of its proper divisors (102086424).

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

45277056 is a wasteful number, since it uses less digits than its factorization.

45277056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 45277056 is about 6728.8227796547. The cubic root of 45277056 is about 356.4178068170.

The spelling of 45277056 in words is "forty-five million, two hundred seventy-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 99 108 128 132 144 162 176 192 198 216 264 288 297 324 352 384 396 397 432 528 576 594 648 704 792 794 864 891 1056 1152 1188 1191 1296 1408 1584 1588 1728 1782 2112 2376 2382 2592 3168 3176 3456 3564 3573 4224 4367 4752 4764 5184 6336 6352 7128 7146 8734 9504 9528 10368 10719 12672 12704 13101 14256 14292 17468 19008 19056 21438 25408 26202 28512 28584 32157 34936 38016 38112 39303 42876 50816 52404 57024 57168 64314 69872 76224 78606 85752 104808 114048 114336 117909 128628 139744 152448 157212 171504 209616 228672 235818 257256 279488 314424 343008 353727 419232 457344 471636 514512 558976 628848 686016 707454 838464 943272 1029024 1257696 1372032 1414908 1676928 1886544 2058048 2515392 2829816 3773088 4116096 5030784 5659632 7546176 11319264 15092352 22638528 45277056