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36483440 = 2457241227
BaseRepresentation
bin1000101100101…
…1000101110000
32112122112212112
42023023011300
533314432230
63341544452
7622050500
oct213130560
975575775
1036483440
1119659604
1210275128
137735046
144bb9a00
153309d95
hex22cb170

36483440 has 120 divisors (see below), whose sum is σ = 101524752. Its totient is φ = 12149760.

The previous prime is 36483437. The next prime is 36483457. The reversal of 36483440 is 4438463.

36483440 is nontrivially palindromic in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 36483397 and 36483406.

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 23 ways as a sum of consecutive naturals, for example, 160607 + ... + 160833.

Almost surely, 236483440 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 36483440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50762376).

36483440 is an abundant number, since it is smaller than the sum of its proper divisors (65041312).

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

36483440 is a wasteful number, since it uses less digits than its factorization.

36483440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The square root of 36483440 is about 6040.1523159603. The cubic root of 36483440 is about 331.6641981360.

The spelling of 36483440 in words is "thirty-six million, four hundred eighty-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 41 49 56 70 80 82 98 112 140 164 196 205 227 245 280 287 328 392 410 454 490 560 574 656 784 820 908 980 1135 1148 1435 1589 1640 1816 1960 2009 2270 2296 2870 3178 3280 3632 3920 4018 4540 4592 5740 6356 7945 8036 9080 9307 10045 11123 11480 12712 15890 16072 18160 18614 20090 22246 22960 25424 31780 32144 37228 40180 44492 46535 55615 63560 65149 74456 80360 88984 93070 111230 127120 130298 148912 160720 177968 186140 222460 260596 325745 372280 444920 456043 521192 651490 744560 889840 912086 1042384 1302980 1824172 2280215 2605960 3648344 4560430 5211920 7296688 9120860 18241720 36483440