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45275776 = 27713323
BaseRepresentation
bin1010110010110…
…1101010000000
310011012020200121
42230231222000
543042311101
64254230024
71056560230
oct254555200
9104166617
1045275776
11236143a7
12131b5314
1394c3000
146027cc0
153e950a1
hex2b2da80

45275776 has 128 divisors (see below), whose sum is σ = 116524800. Its totient is φ = 17132544.

The previous prime is 45275773. The next prime is 45275801. The reversal of 45275776 is 67757254.

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

It is not an unprimeable number, because it can be changed into a prime (45275771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1968501 + ... + 1968523.

It is an arithmetic number, because the mean of its divisors is an integer number (910350).

Almost surely, 245275776 is an apocalyptic number.

45275776 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 45275776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58262400).

45275776 is an abundant number, since it is smaller than the sum of its proper divisors (71249024).

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

45275776 is an equidigital number, since it uses as much as digits as its factorization.

45275776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 45 counting only the distinct ones).

The product of its digits is 411600, while the sum is 43.

The square root of 45275776 is about 6728.7276657627. The cubic root of 45275776 is about 356.4144480953.

The spelling of 45275776 in words is "forty-five million, two hundred seventy-five thousand, seven hundred seventy-six".

Divisors: 1 2 4 7 8 13 14 16 23 26 28 32 46 52 56 64 91 92 104 112 128 161 169 182 184 208 224 299 322 338 364 368 416 448 598 644 676 728 736 832 896 1183 1196 1288 1352 1456 1472 1664 2093 2197 2366 2392 2576 2704 2912 2944 3887 4186 4394 4732 4784 5152 5408 5824 7774 8372 8788 9464 9568 10304 10816 11648 15379 15548 16744 17576 18928 19136 20608 21632 27209 30758 31096 33488 35152 37856 38272 50531 54418 61516 62192 66976 70304 75712 101062 108836 123032 124384 133952 140608 151424 202124 217672 246064 248768 267904 281216 353717 404248 435344 492128 497536 707434 808496 870688 984256 1414868 1616992 1741376 1968512 2829736 3233984 3482752 5659472 6467968 11318944 22637888 45275776