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45481608 = 23331931091
BaseRepresentation
bin1010110101111…
…1111010001000
310011120201001000
42231133322020
543120402413
64302455000
71061405304
oct255377210
9104521030
1045481608
1123745007
1213294460
1395658c3
14607cd04
153ed6073
hex2b5fe88

45481608 has 64 divisors (see below), whose sum is σ = 127108800. Its totient is φ = 15068160.

The previous prime is 45481591. The next prime is 45481609. The reversal of 45481608 is 80618454.

45481608 is a `hidden beast` number, since 4 + 5 + 48 + 1 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (45481609) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41143 + ... + 42233.

It is an arithmetic number, because the mean of its divisors is an integer number (1986075).

Almost surely, 245481608 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 45481608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63554400).

45481608 is an abundant number, since it is smaller than the sum of its proper divisors (81627192).

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

45481608 is a wasteful number, since it uses less digits than its factorization.

45481608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 45481608 is about 6744.0053380762. The cubic root of 45481608 is about 356.9537402103.

The spelling of 45481608 in words is "forty-five million, four hundred eighty-one thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 193 216 386 579 772 1091 1158 1544 1737 2182 2316 3273 3474 4364 4632 5211 6546 6948 8728 9819 10422 13092 13896 19638 20844 26184 29457 39276 41688 58914 78552 117828 210563 235656 421126 631689 842252 1263378 1684504 1895067 2526756 3790134 5053512 5685201 7580268 11370402 15160536 22740804 45481608