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67828752 = 2434199263
BaseRepresentation
bin1000000101011…
…11110000010000
311201122001120000
410002233300100
5114331010002
610421450000
71452351315
oct402576020
9151561500
1067828752
1135318822
121a870900
131108b474
149018d0c
155e4c61c
hex40afc10

67828752 has 100 divisors (see below), whose sum is σ = 198052800. Its totient is φ = 22410432.

The previous prime is 67828751. The next prime is 67828757. The reversal of 67828752 is 25782876.

It is a junction number, because it is equal to n+sod(n) for n = 67828698 and 67828707.

It is not an unprimeable number, because it can be changed into a prime (67828751) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 257773 + ... + 258035.

It is an arithmetic number, because the mean of its divisors is an integer number (1980528).

Almost surely, 267828752 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 67828752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99026400).

67828752 is an abundant number, since it is smaller than the sum of its proper divisors (130224048).

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

67828752 is a wasteful number, since it uses less digits than its factorization.

67828752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 467 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The square root of 67828752 is about 8235.8212705231. The cubic root of 67828752 is about 407.8225872257.

The spelling of 67828752 in words is "sixty-seven million, eight hundred twenty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 199 216 263 324 398 432 526 597 648 789 796 1052 1194 1296 1578 1592 1791 2104 2367 2388 3156 3184 3582 4208 4734 4776 5373 6312 7101 7164 9468 9552 10746 12624 14202 14328 16119 18936 21303 21492 28404 28656 32238 37872 42606 42984 52337 56808 64476 85212 85968 104674 113616 128952 157011 170424 209348 257904 314022 340848 418696 471033 628044 837392 942066 1256088 1413099 1884132 2512176 2826198 3768264 4239297 5652396 7536528 8478594 11304792 16957188 22609584 33914376 67828752