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45769284 = 223211412819
BaseRepresentation
bin1010111010011…
…0001001000100
310012010022122200
42232212021010
543204104114
64312554500
71064014101
oct256461104
9105108580
1045769284
1123921160
12133b2a30
139636822
146115aa8
154041409
hex2ba6244

45769284 has 72 divisors (see below), whose sum is σ = 129336480. Its totient is φ = 13526400.

The previous prime is 45769267. The next prime is 45769291. The reversal of 45769284 is 48296754.

It is a happy number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 14827 + ... + 17645.

It is an arithmetic number, because the mean of its divisors is an integer number (1796340).

Almost surely, 245769284 is an apocalyptic number.

45769284 is a gapful number since it is divisible by the number (44) 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 45769284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64668240).

45769284 is an abundant number, since it is smaller than the sum of its proper divisors (83567196).

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

45769284 is a wasteful number, since it uses less digits than its factorization.

45769284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2881 (or 2876 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 45769284 is about 6765.2999933484. The cubic root of 45769284 is about 357.7047491283.

The spelling of 45769284 in words is "forty-five million, seven hundred sixty-nine thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 41 44 66 82 99 123 132 164 198 246 369 396 451 492 738 902 1353 1476 1804 2706 2819 4059 5412 5638 8118 8457 11276 16236 16914 25371 31009 33828 50742 62018 93027 101484 115579 124036 186054 231158 279081 346737 372108 462316 558162 693474 1040211 1116324 1271369 1386948 2080422 2542738 3814107 4160844 5085476 7628214 11442321 15256428 22884642 45769284