Search a number
-
+
76257342 = 23371711867
BaseRepresentation
bin1001000101110…
…01100000111110
312022111021102000
410202321200332
5124010213332
611322243130
71614114420
oct442714076
9168437360
1076257342
113a0552a7
12216564a6
1312a4c9b5
14a1b0810
156a64b7c
hex48b983e

76257342 has 64 divisors (see below), whose sum is σ = 205079040. Its totient is φ = 20504448.

The previous prime is 76257287. The next prime is 76257353. The reversal of 76257342 is 24375267.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 76257297 and 76257306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 493 + ... + 12359.

It is an arithmetic number, because the mean of its divisors is an integer number (3204360).

Almost surely, 276257342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76257342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102539520).

76257342 is an abundant number, since it is smaller than the sum of its proper divisors (128821698).

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

76257342 is a wasteful number, since it uses less digits than its factorization.

76257342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11902 (or 11896 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The square root of 76257342 is about 8732.5449898641. The cubic root of 76257342 is about 424.0599142519.

The spelling of 76257342 in words is "seventy-six million, two hundred fifty-seven thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 102 119 126 153 189 238 306 357 378 459 714 918 1071 2142 3213 6426 11867 23734 35601 71202 83069 106803 166138 201739 213606 249207 320409 403478 498414 605217 640818 747621 1210434 1412173 1495242 1815651 2242863 2824346 3631302 4236519 4485726 5446953 8473038 10893906 12709557 25419114 38128671 76257342