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36420352 = 281131259
BaseRepresentation
bin1000101011101…
…1101100000000
32112112100022221
42022323230000
533310422402
63340340424
7621365533
oct212735400
975470287
1036420352
1119616171
1210244714
137712407
144ba0a1a
1532e6337
hex22bbb00

36420352 has 36 divisors (see below), whose sum is σ = 73400040. Its totient is φ = 18034688.

The previous prime is 36420337. The next prime is 36420353. The reversal of 36420352 is 25302463.

It is a happy number.

It is a zygodrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (36420353) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 28299 + ... + 29557.

It is an arithmetic number, because the mean of its divisors is an integer number (2038890).

Almost surely, 236420352 is an apocalyptic number.

36420352 is a gapful number since it is divisible by the number (32) 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 36420352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36700020).

36420352 is an abundant number, since it is smaller than the sum of its proper divisors (36979688).

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

36420352 is a wasteful number, since it uses less digits than its factorization.

36420352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1388 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 36420352 is about 6034.9276714804. The cubic root of 36420352 is about 331.4729140602.

The spelling of 36420352 in words is "thirty-six million, four hundred twenty thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 113 128 226 256 452 904 1259 1808 2518 3616 5036 7232 10072 14464 20144 28928 40288 80576 142267 161152 284534 322304 569068 1138136 2276272 4552544 9105088 18210176 36420352