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45373986 = 23371723307
BaseRepresentation
bin1010110100010…
…1101000100010
310011101020102000
42231011220202
543103431421
64300304430
71060446450
oct255055042
9104336360
1045373986
1123681169
1213242116
139528918
1460519d0
153eb4226
hex2b45a22

45373986 has 128 divisors (see below), whose sum is σ = 127733760. Its totient is φ = 11632896.

The previous prime is 45373973. The next prime is 45373997. The reversal of 45373986 is 68937354.

45373986 is a `hidden beast` number, since 4 + 537 + 39 + 86 = 666.

It is a Curzon number.

It is a congruent 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 63 ways as a sum of consecutive naturals, for example, 147645 + ... + 147951.

It is an arithmetic number, because the mean of its divisors is an integer number (997920).

Almost surely, 245373986 is an apocalyptic number.

45373986 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 45373986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63866880).

45373986 is an abundant number, since it is smaller than the sum of its proper divisors (82359774).

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

45373986 is a wasteful number, since it uses less digits than its factorization.

45373986 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 359 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 45373986 is about 6736.0215260939. The cubic root of 45373986 is about 356.6719675846.

The spelling of 45373986 in words is "forty-five million, three hundred seventy-three thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 7 9 14 17 18 21 23 27 34 42 46 51 54 63 69 102 119 126 138 153 161 189 207 238 306 307 322 357 378 391 414 459 483 614 621 714 782 918 921 966 1071 1173 1242 1449 1842 2142 2149 2346 2737 2763 2898 3213 3519 4298 4347 5219 5474 5526 6426 6447 7038 7061 8211 8289 8694 10438 10557 12894 14122 15657 16422 16578 19341 21114 21183 24633 31314 36533 38682 42366 46971 49266 49427 58023 63549 73066 73899 93942 98854 109599 116046 120037 127098 140913 147798 148281 190647 219198 240074 281826 296562 328797 360111 381294 444843 657594 720222 840259 889686 986391 1080333 1334529 1680518 1972782 2160666 2520777 2669058 3240999 5041554 6481998 7562331 15124662 22686993 45373986