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64493172 = 2236171301
BaseRepresentation
bin1111011000000…
…1011001110100
311111100121000000
43312001121310
5113002240142
610222151300
71412116512
oct366013164
9144317000
1064493172
113344a747
1219722530
1310491153
1487cb4b2
1559de14c
hex3d81674

64493172 has 84 divisors (see below), whose sum is σ = 179308836. Its totient is φ = 20217600.

The previous prime is 64493171. The next prime is 64493203. The reversal of 64493172 is 27139446.

64493172 is a `hidden beast` number, since 644 + 9 + 3 + 1 + 7 + 2 = 666.

64493172 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 18198756 + 46294416 = 4266^2 + 6804^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64493171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 48922 + ... + 50222.

It is an arithmetic number, because the mean of its divisors is an integer number (2134629).

Almost surely, 264493172 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 64493172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89654418).

64493172 is an abundant number, since it is smaller than the sum of its proper divisors (114815664).

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

64493172 is a wasteful number, since it uses less digits than its factorization.

64493172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1323 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 64493172 is about 8030.7640981416. The cubic root of 64493172 is about 401.0248138160.

The spelling of 64493172 in words is "sixty-four million, four hundred ninety-three thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 243 306 324 459 486 612 729 918 972 1301 1377 1458 1836 2602 2754 2916 3903 4131 5204 5508 7806 8262 11709 12393 15612 16524 22117 23418 24786 35127 44234 46836 49572 66351 70254 88468 105381 132702 140508 199053 210762 265404 316143 398106 421524 597159 632286 796212 948429 1194318 1264572 1791477 1896858 2388636 3582954 3793716 5374431 7165908 10748862 16123293 21497724 32246586 64493172