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67472244 = 22337312879
BaseRepresentation
bin1000000010110…
…00101101110100
311200221221112000
410001120231310
5114233102434
610410055300
71446335040
oct401305564
9150857460
1067472244
11350a4994
121a71a530
1310c95108
148d65020
155dcbb99
hex4058b74

67472244 has 96 divisors (see below), whose sum is σ = 206438400. Its totient is φ = 18649440.

The previous prime is 67472239. The next prime is 67472281. The reversal of 67472244 is 44227476.

It is a happy number.

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 junction number, because it is equal to n+sod(n) for n = 67472199 and 67472208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21997 + ... + 24875.

It is an arithmetic number, because the mean of its divisors is an integer number (2150400).

Almost surely, 267472244 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 67472244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103219200).

67472244 is an abundant number, since it is smaller than the sum of its proper divisors (138966156).

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

67472244 is a wasteful number, since it uses less digits than its factorization.

67472244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2930 (or 2922 counting only the distinct ones).

The product of its digits is 75264, while the sum is 36.

The square root of 67472244 is about 8214.1490125271. The cubic root of 67472244 is about 407.1068264118.

The spelling of 67472244 in words is "sixty-seven million, four hundred seventy-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 31 36 42 54 62 63 84 93 108 124 126 186 189 217 252 279 372 378 434 558 651 756 837 868 1116 1302 1674 1953 2604 2879 3348 3906 5758 5859 7812 8637 11516 11718 17274 20153 23436 25911 34548 40306 51822 60459 77733 80612 89249 103644 120918 155466 178498 181377 241836 267747 310932 356996 362754 535494 544131 624743 725508 803241 1070988 1088262 1249486 1606482 1874229 2176524 2409723 2498972 3212964 3748458 4819446 5622687 7496916 9638892 11245374 16868061 22490748 33736122 67472244