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45454536 = 233219149223
BaseRepresentation
bin1010110101100…
…1010011001000
310011112022220100
42231121103020
543114021121
64302125400
71061233341
oct255312310
9104468810
1045454536
1123726736
1213280860
13955649a
1460730c8
153ecd026
hex2b594c8

45454536 has 96 divisors (see below), whose sum is σ = 131040000. Its totient is φ = 14193792.

The previous prime is 45454531. The next prime is 45454543. The reversal of 45454536 is 63545454.

It is a super-2 number, since 2×454545362 = 4132229685950592, which contains 22 as substring.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 45454536.

It is not an unprimeable number, because it can be changed into a prime (45454531) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 203721 + ... + 203943.

It is an arithmetic number, because the mean of its divisors is an integer number (1365000).

Almost surely, 245454536 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 45454536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65520000).

45454536 is an abundant number, since it is smaller than the sum of its proper divisors (85585464).

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

45454536 is a wasteful number, since it uses less digits than its factorization.

45454536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 396 counting only the distinct ones).

The product of its digits is 144000, while the sum is 36.

The square root of 45454536 is about 6741.9979234645. The cubic root of 45454536 is about 356.8829030079.

It can be divided in two parts, 454545 and 36, that added together give a triangular number (454581 = T953).

The spelling of 45454536 in words is "forty-five million, four hundred fifty-four thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 149 152 171 223 228 298 342 446 447 456 596 669 684 892 894 1192 1338 1341 1368 1784 1788 2007 2676 2682 2831 3576 4014 4237 5352 5364 5662 8028 8474 8493 10728 11324 12711 16056 16948 16986 22648 25422 25479 33227 33896 33972 38133 50844 50958 66454 67944 76266 99681 101688 101916 132908 152532 199362 203832 265816 299043 305064 398724 598086 631313 797448 1196172 1262626 1893939 2392344 2525252 3787878 5050504 5681817 7575756 11363634 15151512 22727268 45454536