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67424256 = 212323159
BaseRepresentation
bin1000000010011…
…01000000000000
311200212111200200
410001031000000
5114230034011
610405045200
71446045114
oct401150000
9150774620
1067424256
1135071929
121a6b6800
1310c79313
148d51744
155dbc856
hex404d000

67424256 has 156 divisors (see below), whose sum is σ = 204447360. Its totient is φ = 21381120.

The previous prime is 67424233. The next prime is 67424257. The reversal of 67424256 is 65242476.

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

Its product of digits (80640) is a multiple of the sum of its prime factors (120).

It is a self number, because there is not a number n which added to its sum of digits gives 67424256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67424257) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1142755 + ... + 1142813.

It is an arithmetic number, because the mean of its divisors is an integer number (1310560).

Almost surely, 267424256 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 67424256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102223680).

67424256 is an abundant number, since it is smaller than the sum of its proper divisors (137023104).

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

67424256 is a wasteful number, since it uses less digits than its factorization.

67424256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 95 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 67424256 is about 8211.2274356517. The cubic root of 67424256 is about 407.0102885635.

The spelling of 67424256 in words is "sixty-seven million, four hundred twenty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 59 62 64 72 93 96 118 124 128 144 177 186 192 236 248 256 279 288 354 372 384 472 496 512 531 558 576 708 744 768 944 992 1024 1062 1116 1152 1416 1488 1536 1829 1888 1984 2048 2124 2232 2304 2832 2976 3072 3658 3776 3968 4096 4248 4464 4608 5487 5664 5952 6144 7316 7552 7936 8496 8928 9216 10974 11328 11904 12288 14632 15104 15872 16461 16992 17856 18432 21948 22656 23808 29264 30208 31744 32922 33984 35712 36864 43896 45312 47616 58528 60416 63488 65844 67968 71424 87792 90624 95232 117056 120832 126976 131688 135936 142848 175584 181248 190464 234112 241664 263376 271872 285696 351168 362496 380928 468224 526752 543744 571392 702336 724992 936448 1053504 1087488 1142784 1404672 1872896 2107008 2174976 2809344 3745792 4214016 5618688 7491584 8428032 11237376 16856064 22474752 33712128 67424256