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45483776 = 281379173
BaseRepresentation
bin1010110110000…
…0011100000000
310011120211000022
42231200130000
543120440101
64302513012
71061414522
oct255403400
9104524008
1045483776
11237466a8
1213295768
1395668a0
14607da12
153ed6a1b
hex2b60700

45483776 has 72 divisors (see below), whose sum is σ = 99583680. Its totient is φ = 20606976.

The previous prime is 45483773. The next prime is 45483791. The reversal of 45483776 is 67738454.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45483773) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 262826 + ... + 262998.

Almost surely, 245483776 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 45483776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49791840).

45483776 is an abundant number, since it is smaller than the sum of its proper divisors (54099904).

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

45483776 is a wasteful number, since it uses less digits than its factorization.

45483776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 267 counting only the distinct ones).

The product of its digits is 564480, while the sum is 44.

The square root of 45483776 is about 6744.1660715021. The cubic root of 45483776 is about 356.9594118319.

The spelling of 45483776 in words is "forty-five million, four hundred eighty-three thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 79 104 128 158 173 208 256 316 346 416 632 692 832 1027 1264 1384 1664 2054 2249 2528 2768 3328 4108 4498 5056 5536 8216 8996 10112 11072 13667 16432 17992 20224 22144 27334 32864 35984 44288 54668 65728 71968 109336 131456 143936 177671 218672 262912 287872 355342 437344 575744 710684 874688 1421368 1749376 2842736 3498752 5685472 11370944 22741888 45483776