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45383688 = 23327531699
BaseRepresentation
bin1010110100100…
…0000000001000
310011101201201100
42231020000020
543104234223
64300421400
71060516650
oct255100010
9104351640
1045383688
1123688489
1213247860
13953016c
146055360
153eb7043
hex2b48008

45383688 has 96 divisors (see below), whose sum is σ = 143208000. Its totient is φ = 12714624.

The previous prime is 45383687. The next prime is 45383699. The reversal of 45383688 is 88638354.

45383688 is a `hidden beast` number, since 4 + 538 + 36 + 88 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (45383687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25863 + ... + 27561.

It is an arithmetic number, because the mean of its divisors is an integer number (1491750).

Almost surely, 245383688 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 45383688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71604000).

45383688 is an abundant number, since it is smaller than the sum of its proper divisors (97824312).

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

45383688 is a wasteful number, since it uses less digits than its factorization.

45383688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1771 (or 1764 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 45383688 is about 6736.7416456326. The cubic root of 45383688 is about 356.6973873249.

The spelling of 45383688 in words is "forty-five million, three hundred eighty-three thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 53 56 63 72 84 106 126 159 168 212 252 318 371 424 477 504 636 742 954 1113 1272 1484 1699 1908 2226 2968 3339 3398 3816 4452 5097 6678 6796 8904 10194 11893 13356 13592 15291 20388 23786 26712 30582 35679 40776 47572 61164 71358 90047 95144 107037 122328 142716 180094 214074 270141 285432 360188 428148 540282 630329 720376 810423 856296 1080564 1260658 1620846 1890987 2161128 2521316 3241692 3781974 5042632 5672961 6483384 7563948 11345922 15127896 22691844 45383688