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67253312 = 267197901
BaseRepresentation
bin1000000001000…
…11010001000000
311200112211012102
410000203101000
5114204101222
610401245532
71444433540
oct400432100
9150484172
1067253312
1134a65455
121a6338a8
1310c19579
148d09320
155d86d92
hex4023440

67253312 has 56 divisors (see below), whose sum is σ = 160568640. Its totient is φ = 27302400.

The previous prime is 67253297. The next prime is 67253317. The reversal of 67253312 is 21335276.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (67253317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4562 + ... + 12462.

Almost surely, 267253312 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 67253312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80284320).

67253312 is an abundant number, since it is smaller than the sum of its proper divisors (93315328).

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

67253312 is a wasteful number, since it uses less digits than its factorization.

67253312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7939 (or 7929 counting only the distinct ones).

The product of its digits is 7560, while the sum is 29.

The square root of 67253312 is about 8200.8116671461. The cubic root of 67253312 is about 406.6660264554. Note that the first 3 decimals are identical.

Adding to 67253312 its reverse (21335276), we get a palindrome (88588588).

The spelling of 67253312 in words is "sixty-seven million, two hundred fifty-three thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 133 152 224 266 304 448 532 608 1064 1216 2128 4256 7901 8512 15802 31604 55307 63208 110614 126416 150119 221228 252832 300238 442456 505664 600476 884912 1050833 1200952 1769824 2101666 2401904 3539648 4203332 4803808 8406664 9607616 16813328 33626656 67253312