[go: up one dir, main page]

Search a number
-
+
75685376 = 291383137
BaseRepresentation
bin1001000001011…
…01111000000000
312021102012211002
410200231320000
5123333413001
611302111132
71606213034
oct440557000
9167365732
1075685376
11397a45a8
122141b4a8
13128ac560
14a0a21c4
1569a046b
hex482de00

75685376 has 80 divisors (see below), whose sum is σ = 166020624. Its totient is φ = 34258944.

The previous prime is 75685339. The next prime is 75685391. The reversal of 75685376 is 67358657.

It is a happy number.

It is a super-2 number, since 2×756853762 = 11456552280522752, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 75685376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 552380 + ... + 552516.

Almost surely, 275685376 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 75685376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83010312).

75685376 is an abundant number, since it is smaller than the sum of its proper divisors (90335248).

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

75685376 is a wasteful number, since it uses less digits than its factorization.

75685376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 235 counting only the distinct ones).

The product of its digits is 1058400, while the sum is 47.

The square root of 75685376 is about 8699.7342488147. The cubic root of 75685376 is about 422.9970360475.

The spelling of 75685376 in words is "seventy-five million, six hundred eighty-five thousand, three hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 83 104 128 137 166 208 256 274 332 416 512 548 664 832 1079 1096 1328 1664 1781 2158 2192 2656 3328 3562 4316 4384 5312 6656 7124 8632 8768 10624 11371 14248 17264 17536 21248 22742 28496 34528 35072 42496 45484 56992 69056 70144 90968 113984 138112 147823 181936 227968 276224 295646 363872 455936 552448 591292 727744 911872 1182584 1455488 2365168 2910976 4730336 5821952 9460672 18921344 37842688 75685376