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36838440 = 23325102329
BaseRepresentation
bin1000110010000…
…1110000101000
32120022120211200
42030201300220
533412312230
63353324200
7625056462
oct214416050
976276750
1036838440
11198812a1
1210406660
13782a7c2
144c6d132
15337a160
hex2321c28

36838440 has 48 divisors (see below), whose sum is σ = 119726100. Its totient is φ = 9823488.

The previous prime is 36838429. The next prime is 36838441. The reversal of 36838440 is 4483863.

It can be written as a sum of positive squares in 2 ways, for example, as 35354916 + 1483524 = 5946^2 + 1218^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 36838395 and 36838404.

It is not an unprimeable number, because it can be changed into a prime (36838441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50805 + ... + 51524.

Almost surely, 236838440 is an apocalyptic number.

36838440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36838440 is an abundant number, since it is smaller than the sum of its proper divisors (82887660).

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

36838440 is a wasteful number, since it uses less digits than its factorization.

36838440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102346 (or 102339 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 36838440 is about 6069.4678514677. The cubic root of 36838440 is about 332.7364741374.

The spelling of 36838440 in words is "thirty-six million, eight hundred thirty-eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 102329 204658 306987 409316 511645 613974 818632 920961 1023290 1227948 1534935 1841922 2046580 2455896 3069870 3683844 4093160 4604805 6139740 7367688 9209610 12279480 18419220 36838440