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67426944 = 2731321039
BaseRepresentation
bin1000000010011…
…01101010000000
311200212122101020
410001031222000
5114230130234
610405105440
71446056004
oct401155200
9150778336
1067426944
1135073952
121a6b8280
1310c7a600
148d52704
155dbd549
hex404da80

67426944 has 96 divisors (see below), whose sum is σ = 194126400. Its totient is φ = 20726784.

The previous prime is 67426907. The next prime is 67426951. The reversal of 67426944 is 44962476.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 67426896 and 67426905.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64377 + ... + 65415.

It is an arithmetic number, because the mean of its divisors is an integer number (2022150).

Almost surely, 267426944 is an apocalyptic number.

67426944 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67426944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97063200).

67426944 is an abundant number, since it is smaller than the sum of its proper divisors (126699456).

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

67426944 is a wasteful number, since it uses less digits than its factorization.

67426944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 1057 counting only the distinct ones).

The product of its digits is 290304, while the sum is 42.

The square root of 67426944 is about 8211.3911123512. The cubic root of 67426944 is about 407.0156972457.

The spelling of 67426944 in words is "sixty-seven million, four hundred twenty-six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 169 192 208 312 338 384 416 507 624 676 832 1014 1039 1248 1352 1664 2028 2078 2496 2704 3117 4056 4156 4992 5408 6234 8112 8312 10816 12468 13507 16224 16624 21632 24936 27014 32448 33248 40521 49872 54028 64896 66496 81042 99744 108056 132992 162084 175591 199488 216112 324168 351182 398976 432224 526773 648336 702364 864448 1053546 1296672 1404728 1728896 2107092 2593344 2809456 4214184 5186688 5618912 8428368 11237824 16856736 22475648 33713472 67426944