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36424404 = 2234172389
BaseRepresentation
bin1000101011110…
…0101011010100
32112112112220000
42022330223110
533311040104
63340411300
7621413412
oct212745324
975475800
1036424404
1119619215
1210246b30
137714203
144ba22b2
1532e7639
hex22bcad4

36424404 has 90 divisors (see below), whose sum is σ = 101411310. Its totient is φ = 11397888.

The previous prime is 36424403. The next prime is 36424429. The reversal of 36424404 is 40442463.

36424404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 9922500 + 26501904 = 3150^2 + 5148^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36424403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 93442 + ... + 93830.

Almost surely, 236424404 is an apocalyptic number.

36424404 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36424404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50705655).

36424404 is an abundant number, since it is smaller than the sum of its proper divisors (64986906).

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

36424404 is a wasteful number, since it uses less digits than its factorization.

36424404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 36424404 is about 6035.2633745347. The cubic root of 36424404 is about 331.4852064404.

Adding to 36424404 its reverse (40442463), we get a palindrome (76866867).

The spelling of 36424404 in words is "thirty-six million, four hundred twenty-four thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 289 306 324 389 459 578 612 778 867 918 1156 1167 1377 1556 1734 1836 2334 2601 2754 3468 3501 4668 5202 5508 6613 7002 7803 10404 10503 13226 14004 15606 19839 21006 23409 26452 31212 31509 39678 42012 46818 59517 63018 79356 93636 112421 119034 126036 178551 224842 238068 337263 357102 449684 535653 674526 714204 1011789 1071306 1349052 2023578 2142612 3035367 4047156 6070734 9106101 12141468 18212202 36424404