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36475340 = 22511374481
BaseRepresentation
bin1000101100100…
…1000111001100
32112122010202112
42023021013030
533314202330
63341443152
7622015046
oct213110714
975563675
1036475340
1119653510
12102704b8
137731455
144bb6a96
153307795
hex22c91cc

36475340 has 48 divisors (see below), whose sum is σ = 85839264. Its totient is φ = 12902400.

The previous prime is 36475331. The next prime is 36475343. The reversal of 36475340 is 4357463.

It is a junction number, because it is equal to n+sod(n) for n = 36475297 and 36475306.

It is not an unprimeable number, because it can be changed into a prime (36475343) 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 15 ways as a sum of consecutive naturals, for example, 5900 + ... + 10380.

It is an arithmetic number, because the mean of its divisors is an integer number (1788318).

Almost surely, 236475340 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 36475340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42919632).

36475340 is an abundant number, since it is smaller than the sum of its proper divisors (49363924).

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

36475340 is a wasteful number, since it uses less digits than its factorization.

36475340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4538 (or 4536 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 32.

The square root of 36475340 is about 6039.4817658471. The cubic root of 36475340 is about 331.6396511192.

The spelling of 36475340 in words is "thirty-six million, four hundred seventy-five thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 110 148 185 220 370 407 740 814 1628 2035 4070 4481 8140 8962 17924 22405 44810 49291 89620 98582 165797 197164 246455 331594 492910 663188 828985 985820 1657970 1823767 3315940 3647534 7295068 9118835 18237670 36475340