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36228896 = 2511195417
BaseRepresentation
bin1000101000110…
…0111100100000
32112011121200222
42022030330200
533233311041
63332302212
7616640414
oct212147440
975147628
1036228896
11194a5340
1210171968
137676222
144b50d44
1532a974b
hex228cf20

36228896 has 48 divisors (see below), whose sum is σ = 81920160. Its totient is φ = 15598080.

The previous prime is 36228893. The next prime is 36228901. The reversal of 36228896 is 69882263.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (36228893) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3980 + ... + 9396.

It is an arithmetic number, because the mean of its divisors is an integer number (1706670).

Almost surely, 236228896 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 36228896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40960080).

36228896 is an abundant number, since it is smaller than the sum of its proper divisors (45691264).

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

36228896 is a wasteful number, since it uses less digits than its factorization.

36228896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5457 (or 5449 counting only the distinct ones).

The product of its digits is 248832, while the sum is 44.

The square root of 36228896 is about 6019.0444424344. The cubic root of 36228896 is about 330.8910598248.

The spelling of 36228896 in words is "thirty-six million, two hundred twenty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 76 88 152 176 209 304 352 418 608 836 1672 3344 5417 6688 10834 21668 43336 59587 86672 102923 119174 173344 205846 238348 411692 476696 823384 953392 1132153 1646768 1906784 2264306 3293536 4528612 9057224 18114448 36228896