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36490272 = 2537134177
BaseRepresentation
bin1000101100110…
…0110000100000
32112122220020120
42023030300200
533320142042
63342040240
7622106430
oct213146040
975586216
1036490272
1119663755
1210279080
1377381a0
144bbc2c0
15330bdec
hex22ccc20

36490272 has 96 divisors (see below), whose sum is σ = 117919872. Its totient is φ = 9621504.

The previous prime is 36490253. The next prime is 36490297. The reversal of 36490272 is 27209463.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6648 + ... + 10824.

It is an arithmetic number, because the mean of its divisors is an integer number (1228332).

Almost surely, 236490272 is an apocalyptic number.

36490272 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 36490272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58959936).

36490272 is an abundant number, since it is smaller than the sum of its proper divisors (81429600).

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

36490272 is a wasteful number, since it uses less digits than its factorization.

36490272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4210 (or 4202 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 36490272 is about 6040.7178381381. The cubic root of 36490272 is about 331.6848996595.

The spelling of 36490272 in words is "thirty-six million, four hundred ninety thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 182 208 224 273 312 336 364 416 546 624 672 728 1092 1248 1456 2184 2912 4177 4368 8354 8736 12531 16708 25062 29239 33416 50124 54301 58478 66832 87717 100248 108602 116956 133664 162903 175434 200496 217204 233912 325806 350868 380107 400992 434408 467824 651612 701736 760214 868816 935648 1140321 1303224 1403472 1520428 1737632 2280642 2606448 2806944 3040856 4561284 5212896 6081712 9122568 12163424 18245136 36490272