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64497240 = 23325971847
BaseRepresentation
bin1111011000001…
…0011001011000
311111100210120200
43312002121120
5113002402430
610222222200
71412134413
oct366023130
9144323520
1064497240
1133452805
1219724960
1310492c62
1487ccb7a
1559e0460
hex3d82658

64497240 has 96 divisors (see below), whose sum is σ = 211891680. Its totient is φ = 17012736.

The previous prime is 64497239. The next prime is 64497263. The reversal of 64497240 is 4279446.

64497240 is a `hidden beast` number, since 644 + 9 + 7 + 2 + 4 + 0 = 666.

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 = 64497195 and 64497204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33997 + ... + 35843.

It is an arithmetic number, because the mean of its divisors is an integer number (2207205).

Almost surely, 264497240 is an apocalyptic number.

64497240 is a gapful number since it is divisible by the number (60) 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 64497240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105945840).

64497240 is an abundant number, since it is smaller than the sum of its proper divisors (147394440).

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

64497240 is a wasteful number, since it uses less digits than its factorization.

64497240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1961 (or 1954 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 64497240 is about 8031.0173701717. The cubic root of 64497240 is about 401.0332453785.

It can be divided in two parts, 6449 and 7240, that added together give a square (13689 = 1172).

The spelling of 64497240 in words is "sixty-four million, four hundred ninety-seven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 97 120 180 194 291 360 388 485 582 776 873 970 1164 1455 1746 1847 1940 2328 2910 3492 3694 3880 4365 5541 5820 6984 7388 8730 9235 11082 11640 14776 16623 17460 18470 22164 27705 33246 34920 36940 44328 55410 66492 73880 83115 110820 132984 166230 179159 221640 332460 358318 537477 664920 716636 895795 1074954 1433272 1612431 1791590 2149908 2687385 3224862 3583180 4299816 5374770 6449724 7166360 8062155 10749540 12899448 16124310 21499080 32248620 64497240