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193058268 = 2231310112253
BaseRepresentation
bin10111000000111…
…01010111011100
3111110021101011020
423200131113130
5343410331033
631053524140
74532653044
oct1340352734
9443241136
10193058268
1199a81597
12547a3650
1330cc6780
141b8d6724
1511e376b3
hexb81d5dc

193058268 has 48 divisors (see below), whose sum is σ = 489963936. Its totient is φ = 58809600.

The previous prime is 193058233. The next prime is 193058269. The reversal of 193058268 is 862850391.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (193058269) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9630 + ... + 21882.

It is an arithmetic number, because the mean of its divisors is an integer number (10207582).

Almost surely, 2193058268 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 193058268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244981968).

193058268 is an abundant number, since it is smaller than the sum of its proper divisors (296905668).

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

193058268 is a wasteful number, since it uses less digits than its factorization.

193058268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12374 (or 12372 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 193058268 is about 13894.5409423989. The cubic root of 193058268 is about 577.9578079298.

The spelling of 193058268 in words is "one hundred ninety-three million, fifty-eight thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 101 156 202 303 404 606 1212 1313 2626 3939 5252 7878 12253 15756 24506 36759 49012 73518 147036 159289 318578 477867 637156 955734 1237553 1911468 2475106 3712659 4950212 7425318 14850636 16088189 32176378 48264567 64352756 96529134 193058268