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67731472 = 2429612393
BaseRepresentation
bin1000000100110…
…00000000010000
311201110010010001
410002120000100
5114314401342
610415415344
71451464564
oct402300020
9151403101
1067731472
1135261726
121a824554
13110560c3
148dd16a4
155e2d8b7
hex4098010

67731472 has 40 divisors (see below), whose sum is σ = 138038040. Its totient is φ = 32148480.

The previous prime is 67731457. The next prime is 67731491. The reversal of 67731472 is 27413776.

It can be written as a sum of positive squares in 4 ways, for example, as 3154176 + 64577296 = 1776^2 + 8036^2 .

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27108 + ... + 29500.

It is an arithmetic number, because the mean of its divisors is an integer number (3450951).

Almost surely, 267731472 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 67731472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69019020).

67731472 is an abundant number, since it is smaller than the sum of its proper divisors (70306568).

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

67731472 is a wasteful number, since it uses less digits than its factorization.

67731472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2491 (or 2485 counting only the distinct ones).

The product of its digits is 49392, while the sum is 37.

The square root of 67731472 is about 8229.9132437712. The cubic root of 67731472 is about 407.6275275518.

The spelling of 67731472 in words is "sixty-seven million, seven hundred thirty-one thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 29 58 61 116 122 232 244 464 488 976 1769 2393 3538 4786 7076 9572 14152 19144 28304 38288 69397 138794 145973 277588 291946 555176 583892 1110352 1167784 2335568 4233217 8466434 16932868 33865736 67731472