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36445890 = 23513113827
BaseRepresentation
bin1000101100000…
…1111011000010
32112120122100210
42023001323002
533312232030
63341054550
7621533145
oct213017302
975518323
1036445890
1119633378
1210257456
137720c20
144baa05c
1532edbb0
hex22c1ec2

36445890 has 64 divisors (see below), whose sum is σ = 95147136. Its totient is φ = 8881152.

The previous prime is 36445873. The next prime is 36445891. The reversal of 36445890 is 9854463.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (36445891) 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 31 ways as a sum of consecutive naturals, for example, 43657 + ... + 44483.

It is an arithmetic number, because the mean of its divisors is an integer number (1486674).

Almost surely, 236445890 is an apocalyptic number.

36445890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 36445890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47573568).

36445890 is an abundant number, since it is smaller than the sum of its proper divisors (58701246).

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

36445890 is a wasteful number, since it uses less digits than its factorization.

36445890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963.

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 36445890 is about 6037.0431504173. The cubic root of 36445890 is about 331.5503723767.

The spelling of 36445890 in words is "thirty-six million, four hundred forty-five thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 113 130 195 226 339 390 565 678 827 1130 1469 1654 1695 2481 2938 3390 4135 4407 4962 7345 8270 8814 10751 12405 14690 21502 22035 24810 32253 44070 53755 64506 93451 107510 161265 186902 280353 322530 467255 560706 934510 1214863 1401765 2429726 2803530 3644589 6074315 7289178 12148630 18222945 36445890