Search a number
-
+
61417096 = 23131633623
BaseRepresentation
bin1110101001001…
…0011010001000
311021120022102021
43222102122020
5111210321341
610032214224
71344015406
oct352223210
9137508367
1061417096
1131739634
121869a374
13c954ca0
14822a476
1555d29d1
hex3a92688

61417096 has 32 divisors (see below), whose sum is σ = 124810560. Its totient is φ = 28164672.

The previous prime is 61417093. The next prime is 61417117. The reversal of 61417096 is 69071416.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (61417093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15141 + ... + 18763.

It is an arithmetic number, because the mean of its divisors is an integer number (3900330).

Almost surely, 261417096 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 61417096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62405280).

61417096 is an abundant number, since it is smaller than the sum of its proper divisors (63393464).

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

61417096 is a wasteful number, since it uses less digits than its factorization.

61417096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3805 (or 3801 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 61417096 is about 7836.9060221493. The cubic root of 61417096 is about 394.5448927072.

The spelling of 61417096 in words is "sixty-one million, four hundred seventeen thousand, ninety-six".

Divisors: 1 2 4 8 13 26 52 104 163 326 652 1304 2119 3623 4238 7246 8476 14492 16952 28984 47099 94198 188396 376792 590549 1181098 2362196 4724392 7677137 15354274 30708548 61417096