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67808928 = 25311157409
BaseRepresentation
bin1000000101010…
…10111010100000
311201121001100210
410002222322200
5114324341203
610421214120
71452236445
oct402527240
9151531323
1067808928
1135304940
121a861340
1311082435
1490119cc
155e46803
hex40aaea0

67808928 has 96 divisors (see below), whose sum is σ = 195894720. Its totient is φ = 20367360.

The previous prime is 67808887. The next prime is 67808933. The reversal of 67808928 is 82980876.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165588 + ... + 165996.

It is an arithmetic number, because the mean of its divisors is an integer number (2040570).

Almost surely, 267808928 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 67808928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97947360).

67808928 is an abundant number, since it is smaller than the sum of its proper divisors (128085792).

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

67808928 is a wasteful number, since it uses less digits than its factorization.

67808928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The square root of 67808928 is about 8234.6176596124. The cubic root of 67808928 is about 407.7828525386.

The spelling of 67808928 in words is "sixty-seven million, eight hundred eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 157 176 264 314 352 409 471 528 628 818 942 1056 1227 1256 1636 1727 1884 2454 2512 3272 3454 3768 4499 4908 5024 5181 6544 6908 7536 8998 9816 10362 13088 13497 13816 15072 17996 19632 20724 26994 27632 35992 39264 41448 53988 55264 64213 71984 82896 107976 128426 143968 165792 192639 215952 256852 385278 431904 513704 706343 770556 1027408 1412686 1541112 2054816 2119029 2825372 3082224 4238058 5650744 6164448 8476116 11301488 16952232 22602976 33904464 67808928