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64681416 = 233499817
BaseRepresentation
bin1111011010111…
…1010111001000
311111201011020000
43312233113020
5113024301131
610230203000
71413532362
oct366572710
9144634200
1064681416
1133569118
12197b3460
1310528a37
148839d32
155a29ce6
hex3daf5c8

64681416 has 40 divisors (see below), whose sum is σ = 181169670. Its totient is φ = 21560256.

The previous prime is 64681403. The next prime is 64681427. The reversal of 64681416 is 61418646.

64681416 is a `hidden beast` number, since 646 + 8 + 1 + 4 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 51065316 + 13616100 = 7146^2 + 3690^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 49261 + ... + 50556.

Almost surely, 264681416 is an apocalyptic number.

It is an amenable number.

64681416 is an abundant number, since it is smaller than the sum of its proper divisors (116488254).

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

64681416 is a wasteful number, since it uses less digits than its factorization.

64681416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99835 (or 99822 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 64681416 is about 8042.4757382289. The cubic root of 64681416 is about 401.4146079798.

The spelling of 64681416 in words is "sixty-four million, six hundred eighty-one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 99817 199634 299451 399268 598902 798536 898353 1197804 1796706 2395608 2695059 3593412 5390118 7186824 8085177 10780236 16170354 21560472 32340708 64681416