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45483606 = 2347192111
BaseRepresentation
bin1010110110000…
…0011001010110
310011120210210000
42231200121112
543120433411
64302512130
71061414160
oct255403126
9104523700
1045483606
1123746563
1213295646
13956679c
14607d930
153ed6956
hex2b60656

45483606 has 80 divisors (see below), whose sum is σ = 122664960. Its totient is φ = 12305520.

The previous prime is 45483601. The next prime is 45483611. The reversal of 45483606 is 60638454.

45483606 is a `hidden beast` number, since 4 + 5 + 48 + 3 + 606 = 666.

It is an interprime number because it is at equal distance from previous prime (45483601) and next prime (45483611).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45483601) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20491 + ... + 22601.

It is an arithmetic number, because the mean of its divisors is an integer number (1533312).

Almost surely, 245483606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45483606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61332480).

45483606 is an abundant number, since it is smaller than the sum of its proper divisors (77181354).

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

45483606 is a wasteful number, since it uses less digits than its factorization.

45483606 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2151 (or 2142 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 45483606 is about 6744.1534680047. The cubic root of 45483606 is about 356.9589671080.

The spelling of 45483606 in words is "forty-five million, four hundred eighty-three thousand, six hundred six".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 81 114 126 133 162 171 189 266 342 378 399 513 567 798 1026 1134 1197 1539 2111 2394 3078 3591 4222 6333 7182 10773 12666 14777 18999 21546 29554 37998 40109 44331 56997 80218 88662 113994 120327 132993 170991 240654 265986 280763 341982 360981 398979 561526 721962 797958 842289 1082943 1196937 1684578 2165886 2393874 2526867 3248829 5053734 6497658 7580601 15161202 22741803 45483606