Search a number
-
+
97086762 = 236173917
BaseRepresentation
bin1011100100101…
…10110100101010
320202200112000000
411302112310222
5144323234022
613344523430
72256136533
oct562266452
9222615000
1097086762
114a8917a3
1228620576
13171637b6
14cc7368a
1587cb6ac
hex5c96d2a

97086762 has 56 divisors (see below), whose sum is σ = 231248196. Its totient is φ = 30450816.

The previous prime is 97086709. The next prime is 97086793. The reversal of 97086762 is 26768079.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 87778161 + 9308601 = 9369^2 + 3051^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 22828 + ... + 26744.

Almost surely, 297086762 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97086762, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115624098).

97086762 is an abundant number, since it is smaller than the sum of its proper divisors (134161434).

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

97086762 is a wasteful number, since it uses less digits than its factorization.

97086762 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3954 (or 3939 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 97086762 is about 9853.2614904914. The cubic root of 97086762 is about 459.6070399565.

The spelling of 97086762 in words is "ninety-seven million, eighty-six thousand, seven hundred sixty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 243 306 459 486 729 918 1377 1458 2754 3917 4131 7834 8262 11751 12393 23502 24786 35253 66589 70506 105759 133178 199767 211518 317277 399534 599301 634554 951831 1198602 1797903 1903662 2855493 3595806 5393709 5710986 10787418 16181127 32362254 48543381 97086762