Search a number
-
+
93142692 = 223211092333
BaseRepresentation
bin1011000110100…
…11111010100100
320111021010202100
411203103322210
5142321031232
613124212100
72210462016
oct543237244
9214233670
1093142692
1148638535
122723a030
13163b2526
14c5281b6
15829cc7c
hex58d3ea4

93142692 has 36 divisors (see below), whose sum is σ = 235757340. Its totient is φ = 31006272.

The previous prime is 93142667. The next prime is 93142717. The reversal of 93142692 is 29624139.

It is an interprime number because it is at equal distance from previous prime (93142667) and next prime (93142717).

It can be written as a sum of positive squares in 2 ways, for example, as 12574116 + 80568576 = 3546^2 + 8976^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×931426922 = 17351122146013728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38758 + ... + 41090.

It is an arithmetic number, because the mean of its divisors is an integer number (6548815).

Almost surely, 293142692 is an apocalyptic number.

It is an amenable number.

93142692 is an abundant number, since it is smaller than the sum of its proper divisors (142614648).

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

93142692 is a wasteful number, since it uses less digits than its factorization.

93142692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3452 (or 3447 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 93142692 is about 9651.0461609092. The cubic root of 93142692 is about 453.2970874039.

The spelling of 93142692 in words is "ninety-three million, one hundred forty-two thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 1109 2218 2333 3327 4436 4666 6654 6999 9332 9981 13308 13998 19962 20997 27996 39924 41994 83988 2587297 5174594 7761891 10349188 15523782 23285673 31047564 46571346 93142692