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8068464 = 243319983
BaseRepresentation
bin11110110001110101110000
3120011220212000
4132301311300
54031142324
6444534000
7125403135
oct36616560
916156760
108068464
114610a58
122851300
131896651
14110058c
15a959c9
hex7b1d70

8068464 has 80 divisors (see below), whose sum is σ = 24403200. Its totient is φ = 2545344.

The previous prime is 8068457. The next prime is 8068481. The reversal of 8068464 is 4648608.

It is a super-2 number, since 2×80684642 = 130200222638592, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7717 + ... + 8699.

It is an arithmetic number, because the mean of its divisors is an integer number (305040).

Almost surely, 28068464 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 8068464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12201600).

8068464 is an abundant number, since it is smaller than the sum of its proper divisors (16334736).

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

8068464 is a wasteful number, since it uses less digits than its factorization.

8068464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 8068464 is about 2840.5041805989. The cubic root of 8068464 is about 200.5689134861.

The spelling of 8068464 in words is "eight million, sixty-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 228 304 342 432 456 513 684 912 983 1026 1368 1966 2052 2736 2949 3932 4104 5898 7864 8208 8847 11796 15728 17694 18677 23592 26541 35388 37354 47184 53082 56031 70776 74708 106164 112062 141552 149416 168093 212328 224124 298832 336186 424656 448248 504279 672372 896496 1008558 1344744 2017116 2689488 4034232 8068464