Search a number
-
+
67216464 = 2432766683
BaseRepresentation
bin1000000000110…
…10010001010000
311200110221122200
410000122101100
5114201411324
610400403200
71444221240
oct400322120
9150427580
1067216464
1134a3a7a7
121a616500
1310c05873
148cd9b20
155d7aec9
hex401a450

67216464 has 60 divisors (see below), whose sum is σ = 214989216. Its totient is φ = 19204416.

The previous prime is 67216459. The next prime is 67216489. The reversal of 67216464 is 46461276.

67216464 is a `hidden beast` number, since 6 + 7 + 2 + 1 + 646 + 4 = 666.

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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32334 + ... + 34349.

Almost surely, 267216464 is an apocalyptic number.

It is an amenable number.

67216464 is an abundant number, since it is smaller than the sum of its proper divisors (147772752).

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

67216464 is a wasteful number, since it uses less digits than its factorization.

67216464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66704 (or 66695 counting only the distinct ones).

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

The square root of 67216464 is about 8198.5647524430. The cubic root of 67216464 is about 406.5917422958.

The spelling of 67216464 in words is "sixty-seven million, two hundred sixteen thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 66683 133366 200049 266732 400098 466781 533464 600147 800196 933562 1066928 1200294 1400343 1600392 1867124 2400588 2800686 3200784 3734248 4201029 4801176 5601372 7468496 8402058 9602352 11202744 16804116 22405488 33608232 67216464